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Finding the Fourth Proportional to 423,068.14, 634,604.40 and 142,587.82

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Solution

The fourth proportional to 423,068.14, 634,604.40 and 142,587.82 is: 213,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,068.14 : 634,604.40 = 142,587.82 : x
  2. Step 2: Convert to fraction form
    423,068.14/634,604.40 = 142,587.82/x
  3. Step 3: Cross multiply
    423,068.14x = 634,604.40 × 142,587.82
  4. Step 4: Simplify right side
    423,068.14x = 90,486,857,958.41
  5. Step 5: Solve for x
    x = 90,486,857,958.41/423,068.14
  6. Step 6: Final answer
    x = 213,882.47

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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.