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Finding the Fourth Proportional to 509,080.68, 702,532.98 and 282,726.18

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Solution

The fourth proportional to 509,080.68, 702,532.98 and 282,726.18 is: 390,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,080.68 : 702,532.98 = 282,726.18 : x
  2. Step 2: Convert to fraction form
    509,080.68/702,532.98 = 282,726.18/x
  3. Step 3: Cross multiply
    509,080.68x = 702,532.98 × 282,726.18
  4. Step 4: Simplify right side
    509,080.68x = 198,624,465,759.42
  5. Step 5: Solve for x
    x = 198,624,465,759.42/509,080.68
  6. Step 6: Final answer
    x = 390,163.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.