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Finding the Fourth Proportional to 509,235.66, 762,410.07 and 423,155.34

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Solution

The fourth proportional to 509,235.66, 762,410.07 and 423,155.34 is: 633,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,235.66 : 762,410.07 = 423,155.34 : x
  2. Step 2: Convert to fraction form
    509,235.66/762,410.07 = 423,155.34/x
  3. Step 3: Cross multiply
    509,235.66x = 762,410.07 × 423,155.34
  4. Step 4: Simplify right side
    509,235.66x = 322,617,892,390.27
  5. Step 5: Solve for x
    x = 322,617,892,390.27/509,235.66
  6. Step 6: Final answer
    x = 633,533.58

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Double scale
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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.