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Finding the Fourth Proportional to 495,726.13, 684,046.50 and 280,820.17

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Solution

The fourth proportional to 495,726.13, 684,046.50 and 280,820.17 is: 387,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,726.13 : 684,046.50 = 280,820.17 : x
  2. Step 2: Convert to fraction form
    495,726.13/684,046.50 = 280,820.17/x
  3. Step 3: Cross multiply
    495,726.13x = 684,046.50 × 280,820.17
  4. Step 4: Simplify right side
    495,726.13x = 192,094,054,417.91
  5. Step 5: Solve for x
    x = 192,094,054,417.91/495,726.13
  6. Step 6: Final answer
    x = 387,500.36

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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.