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Finding the Fourth Proportional to 283,590.86, 391,363.72 and 156,274.65

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Solution

The fourth proportional to 283,590.86, 391,363.72 and 156,274.65 is: 215,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,590.86 : 391,363.72 = 156,274.65 : x
  2. Step 2: Convert to fraction form
    283,590.86/391,363.72 = 156,274.65/x
  3. Step 3: Cross multiply
    283,590.86x = 391,363.72 × 156,274.65
  4. Step 4: Simplify right side
    283,590.86x = 61,160,227,975.01
  5. Step 5: Solve for x
    x = 61,160,227,975.01/283,590.86
  6. Step 6: Final answer
    x = 215,663.61

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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.