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Finding the Fourth Proportional to 214,355.70, 320,877.45 and 155,306.70

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Solution

The fourth proportional to 214,355.70, 320,877.45 and 155,306.70 is: 232,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,355.70 : 320,877.45 = 155,306.70 : x
  2. Step 2: Convert to fraction form
    214,355.70/320,877.45 = 155,306.70/x
  3. Step 3: Cross multiply
    214,355.70x = 320,877.45 × 155,306.70
  4. Step 4: Simplify right side
    214,355.70x = 49,834,417,863.92
  5. Step 5: Solve for x
    x = 49,834,417,863.92/214,355.70
  6. Step 6: Final answer
    x = 232,484.69

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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.