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Finding the Fourth Proportional to 495,726.12, 684,046.52 and 280,820.16

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Solution

The fourth proportional to 495,726.12, 684,046.52 and 280,820.16 is: 387,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,726.12 : 684,046.52 = 280,820.16 : x
  2. Step 2: Convert to fraction form
    495,726.12/684,046.52 = 280,820.16/x
  3. Step 3: Cross multiply
    495,726.12x = 684,046.52 × 280,820.16
  4. Step 4: Simplify right side
    495,726.12x = 192,094,053,193.84
  5. Step 5: Solve for x
    x = 192,094,053,193.84/495,726.12
  6. Step 6: Final answer
    x = 387,500.37

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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.