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Finding the Fourth Proportional to 442,392.47, 663,586.64 and 138,808.85

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Solution

The fourth proportional to 442,392.47, 663,586.64 and 138,808.85 is: 208,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,392.47 : 663,586.64 = 138,808.85 : x
  2. Step 2: Convert to fraction form
    442,392.47/663,586.64 = 138,808.85/x
  3. Step 3: Cross multiply
    442,392.47x = 663,586.64 × 138,808.85
  4. Step 4: Simplify right side
    442,392.47x = 92,111,698,373.76
  5. Step 5: Solve for x
    x = 92,111,698,373.76/442,392.47
  6. Step 6: Final answer
    x = 208,212.63

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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.