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Finding the Fourth Proportional to 391,888.80, 588,095.01 and 142,570.80

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Solution

The fourth proportional to 391,888.80, 588,095.01 and 142,570.80 is: 213,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,888.80 : 588,095.01 = 142,570.80 : x
  2. Step 2: Convert to fraction form
    391,888.80/588,095.01 = 142,570.80/x
  3. Step 3: Cross multiply
    391,888.80x = 588,095.01 × 142,570.80
  4. Step 4: Simplify right side
    391,888.80x = 83,845,176,051.71
  5. Step 5: Solve for x
    x = 83,845,176,051.71/391,888.80
  6. Step 6: Final answer
    x = 213,951.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.