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Finding the Fourth Proportional to 498,404.70, 747,779.85 and 218,123.10

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Solution

The fourth proportional to 498,404.70, 747,779.85 and 218,123.10 is: 327,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,404.70 : 747,779.85 = 218,123.10 : x
  2. Step 2: Convert to fraction form
    498,404.70/747,779.85 = 218,123.10/x
  3. Step 3: Cross multiply
    498,404.70x = 747,779.85 × 218,123.10
  4. Step 4: Simplify right side
    498,404.70x = 163,108,058,999.54
  5. Step 5: Solve for x
    x = 163,108,058,999.54/498,404.70
  6. Step 6: Final answer
    x = 327,260.27

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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.