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Finding the Fourth Proportional to 219,491.76, 329,332.52 and 77,438.42

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Solution

The fourth proportional to 219,491.76, 329,332.52 and 77,438.42 is: 116,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,491.76 : 329,332.52 = 77,438.42 : x
  2. Step 2: Convert to fraction form
    219,491.76/329,332.52 = 77,438.42/x
  3. Step 3: Cross multiply
    219,491.76x = 329,332.52 × 77,438.42
  4. Step 4: Simplify right side
    219,491.76x = 25,502,990,003.42
  5. Step 5: Solve for x
    x = 25,502,990,003.42/219,491.76
  6. Step 6: Final answer
    x = 116,191.10

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1.5x scale

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.