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Finding the Fourth Proportional to 495,882, 684,479.16 and 291,930.48

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Solution

The fourth proportional to 495,882, 684,479.16 and 291,930.48 is: 402,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,882 : 684,479.16 = 291,930.48 : x
  2. Step 2: Convert to fraction form
    495,882/684,479.16 = 291,930.48/x
  3. Step 3: Cross multiply
    495,882x = 684,479.16 × 291,930.48
  4. Step 4: Simplify right side
    495,882x = 199,820,329,728.80
  5. Step 5: Solve for x
    x = 199,820,329,728.80/495,882
  6. Step 6: Final answer
    x = 402,959.43

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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.