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Finding the Fourth Proportional to 282,902.71, 390,397.95 and 155,578.31

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Solution

The fourth proportional to 282,902.71, 390,397.95 and 155,578.31 is: 214,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,902.71 : 390,397.95 = 155,578.31 : x
  2. Step 2: Convert to fraction form
    282,902.71/390,397.95 = 155,578.31/x
  3. Step 3: Cross multiply
    282,902.71x = 390,397.95 × 155,578.31
  4. Step 4: Simplify right side
    282,902.71x = 60,737,451,336.47
  5. Step 5: Solve for x
    x = 60,737,451,336.47/282,902.71
  6. Step 6: Final answer
    x = 214,693.78

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1.5x scale

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.