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Finding the Fourth Proportional to 442,045.81, 663,001.05 and 142,495.15

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Solution

The fourth proportional to 442,045.81, 663,001.05 and 142,495.15 is: 213,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,045.81 : 663,001.05 = 142,495.15 : x
  2. Step 2: Convert to fraction form
    442,045.81/663,001.05 = 142,495.15/x
  3. Step 3: Cross multiply
    442,045.81x = 663,001.05 × 142,495.15
  4. Step 4: Simplify right side
    442,045.81x = 94,474,433,388.35
  5. Step 5: Solve for x
    x = 94,474,433,388.35/442,045.81
  6. Step 6: Final answer
    x = 213,720.91

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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.