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Finding the Fourth Proportional to 283,640.48, 391,416.64 and 154,582.27

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Solution

The fourth proportional to 283,640.48, 391,416.64 and 154,582.27 is: 213,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,640.48 : 391,416.64 = 154,582.27 : x
  2. Step 2: Convert to fraction form
    283,640.48/391,416.64 = 154,582.27/x
  3. Step 3: Cross multiply
    283,640.48x = 391,416.64 × 154,582.27
  4. Step 4: Simplify right side
    283,640.48x = 60,506,072,726.97
  5. Step 5: Solve for x
    x = 60,506,072,726.97/283,640.48
  6. Step 6: Final answer
    x = 213,319.60

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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.