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Finding the Fourth Proportional to 280,013.78, 386,418.31 and 152,689.38

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Solution

The fourth proportional to 280,013.78, 386,418.31 and 152,689.38 is: 210,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,013.78 : 386,418.31 = 152,689.38 : x
  2. Step 2: Convert to fraction form
    280,013.78/386,418.31 = 152,689.38/x
  3. Step 3: Cross multiply
    280,013.78x = 386,418.31 × 152,689.38
  4. Step 4: Simplify right side
    280,013.78x = 59,001,970,343.76
  5. Step 5: Solve for x
    x = 59,001,970,343.76/280,013.78
  6. Step 6: Final answer
    x = 210,710.95

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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.