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Finding the Fourth Proportional to 332,457.78, 498,686.70 and 83,139.78

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Solution

The fourth proportional to 332,457.78, 498,686.70 and 83,139.78 is: 124,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,457.78 : 498,686.70 = 83,139.78 : x
  2. Step 2: Convert to fraction form
    332,457.78/498,686.70 = 83,139.78/x
  3. Step 3: Cross multiply
    332,457.78x = 498,686.70 × 83,139.78
  4. Step 4: Simplify right side
    332,457.78x = 41,460,702,526.93
  5. Step 5: Solve for x
    x = 41,460,702,526.93/332,457.78
  6. Step 6: Final answer
    x = 124,709.68

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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.