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Finding the Fourth Proportional to 280,726.92, 387,404.12 and 153,402.48

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Solution

The fourth proportional to 280,726.92, 387,404.12 and 153,402.48 is: 211,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,726.92 : 387,404.12 = 153,402.48 : x
  2. Step 2: Convert to fraction form
    280,726.92/387,404.12 = 153,402.48/x
  3. Step 3: Cross multiply
    280,726.92x = 387,404.12 × 153,402.48
  4. Step 4: Simplify right side
    280,726.92x = 59,428,752,770.22
  5. Step 5: Solve for x
    x = 59,428,752,770.22/280,726.92
  6. Step 6: Final answer
    x = 211,695.95

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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.