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Finding the Fourth Proportional to 415,364, 623,045.94 and 99,820.90

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Solution

The fourth proportional to 415,364, 623,045.94 and 99,820.90 is: 149,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,364 : 623,045.94 = 99,820.90 : x
  2. Step 2: Convert to fraction form
    415,364/623,045.94 = 99,820.90/x
  3. Step 3: Cross multiply
    415,364x = 623,045.94 × 99,820.90
  4. Step 4: Simplify right side
    415,364x = 62,193,006,472.15
  5. Step 5: Solve for x
    x = 62,193,006,472.15/415,364
  6. Step 6: Final answer
    x = 149,731.34

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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.