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Finding the Fourth Proportional to 309,210.60, 463,815.90 and 239,140.20

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Solution

The fourth proportional to 309,210.60, 463,815.90 and 239,140.20 is: 358,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,210.60 : 463,815.90 = 239,140.20 : x
  2. Step 2: Convert to fraction form
    309,210.60/463,815.90 = 239,140.20/x
  3. Step 3: Cross multiply
    309,210.60x = 463,815.90 × 239,140.20
  4. Step 4: Simplify right side
    309,210.60x = 110,917,027,089.18
  5. Step 5: Solve for x
    x = 110,917,027,089.18/309,210.60
  6. Step 6: Final answer
    x = 358,710.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.