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Finding the Fourth Proportional to 306,070.71, 459,033.17 and 128,581.17

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Solution

The fourth proportional to 306,070.71, 459,033.17 and 128,581.17 is: 192,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,070.71 : 459,033.17 = 128,581.17 : x
  2. Step 2: Convert to fraction form
    306,070.71/459,033.17 = 128,581.17/x
  3. Step 3: Cross multiply
    306,070.71x = 459,033.17 × 128,581.17
  4. Step 4: Simplify right side
    306,070.71x = 59,023,021,424.50
  5. Step 5: Solve for x
    x = 59,023,021,424.50/306,070.71
  6. Step 6: Final answer
    x = 192,841.13

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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.