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Finding the Fourth Proportional to 495,412.33, 683,711.18 and 280,590.61

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Solution

The fourth proportional to 495,412.33, 683,711.18 and 280,590.61 is: 387,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,412.33 : 683,711.18 = 280,590.61 : x
  2. Step 2: Convert to fraction form
    495,412.33/683,711.18 = 280,590.61/x
  3. Step 3: Cross multiply
    495,412.33x = 683,711.18 × 280,590.61
  4. Step 4: Simplify right side
    495,412.33x = 191,842,937,060.02
  5. Step 5: Solve for x
    x = 191,842,937,060.02/495,412.33
  6. Step 6: Final answer
    x = 387,238.92

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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.