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Finding the Fourth Proportional to 415,927.70, 573,840.61 and 339,314.35

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Solution

The fourth proportional to 415,927.70, 573,840.61 and 339,314.35 is: 468,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,927.70 : 573,840.61 = 339,314.35 : x
  2. Step 2: Convert to fraction form
    415,927.70/573,840.61 = 339,314.35/x
  3. Step 3: Cross multiply
    415,927.70x = 573,840.61 × 339,314.35
  4. Step 4: Simplify right side
    415,927.70x = 194,712,353,585.75
  5. Step 5: Solve for x
    x = 194,712,353,585.75/415,927.70
  6. Step 6: Final answer
    x = 468,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.