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Finding the Fourth Proportional to 644,148.90, 966,332.70 and 194,866.20

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Solution

The fourth proportional to 644,148.90, 966,332.70 and 194,866.20 is: 292,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,148.90 : 966,332.70 = 194,866.20 : x
  2. Step 2: Convert to fraction form
    644,148.90/966,332.70 = 194,866.20/x
  3. Step 3: Cross multiply
    644,148.90x = 966,332.70 × 194,866.20
  4. Step 4: Simplify right side
    644,148.90x = 188,305,581,184.74
  5. Step 5: Solve for x
    x = 188,305,581,184.74/644,148.90
  6. Step 6: Final answer
    x = 292,332.38

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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.