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Finding the Fourth Proportional to 356,614.88, 534,718.20 and 146,138

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Solution

The fourth proportional to 356,614.88, 534,718.20 and 146,138 is: 219,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,614.88 : 534,718.20 = 146,138 : x
  2. Step 2: Convert to fraction form
    356,614.88/534,718.20 = 146,138/x
  3. Step 3: Cross multiply
    356,614.88x = 534,718.20 × 146,138
  4. Step 4: Simplify right side
    356,614.88x = 78,142,648,311.60
  5. Step 5: Solve for x
    x = 78,142,648,311.60/356,614.88
  6. Step 6: Final answer
    x = 219,123.35

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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.