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Finding the Fourth Proportional to 282,694, 390,113.32 and 155,366.86

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Solution

The fourth proportional to 282,694, 390,113.32 and 155,366.86 is: 214,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,694 : 390,113.32 = 155,366.86 : x
  2. Step 2: Convert to fraction form
    282,694/390,113.32 = 155,366.86/x
  3. Step 3: Cross multiply
    282,694x = 390,113.32 × 155,366.86
  4. Step 4: Simplify right side
    282,694x = 60,610,681,572.58
  5. Step 5: Solve for x
    x = 60,610,681,572.58/282,694
  6. Step 6: Final answer
    x = 214,403.85

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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.