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Finding the Fourth Proportional to 495,614.91, 683,935.27 and 291,677.84

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Solution

The fourth proportional to 495,614.91, 683,935.27 and 291,677.84 is: 402,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,614.91 : 683,935.27 = 291,677.84 : x
  2. Step 2: Convert to fraction form
    495,614.91/683,935.27 = 291,677.84/x
  3. Step 3: Cross multiply
    495,614.91x = 683,935.27 × 291,677.84
  4. Step 4: Simplify right side
    495,614.91x = 199,488,758,104.55
  5. Step 5: Solve for x
    x = 199,488,758,104.55/495,614.91
  6. Step 6: Final answer
    x = 402,507.58

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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.