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Finding the Fourth Proportional to 951,740, 1,427,543.20 and 446,411.80

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Solution

The fourth proportional to 951,740, 1,427,543.20 and 446,411.80 is: 669,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,740 : 1,427,543.20 = 446,411.80 : x
  2. Step 2: Convert to fraction form
    951,740/1,427,543.20 = 446,411.80/x
  3. Step 3: Cross multiply
    951,740x = 1,427,543.20 × 446,411.80
  4. Step 4: Simplify right side
    951,740x = 637,272,129,489.76
  5. Step 5: Solve for x
    x = 637,272,129,489.76/951,740
  6. Step 6: Final answer
    x = 669,586.37

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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.