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Finding the Fourth Proportional to 306,210.60, 459,097.20 and 137,592.90

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Solution

The fourth proportional to 306,210.60, 459,097.20 and 137,592.90 is: 206,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,210.60 : 459,097.20 = 137,592.90 : x
  2. Step 2: Convert to fraction form
    306,210.60/459,097.20 = 137,592.90/x
  3. Step 3: Cross multiply
    306,210.60x = 459,097.20 × 137,592.90
  4. Step 4: Simplify right side
    306,210.60x = 63,168,515,129.88
  5. Step 5: Solve for x
    x = 63,168,515,129.88/306,210.60
  6. Step 6: Final answer
    x = 206,291.08

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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.