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Finding the Fourth Proportional to 950,429, 1,311,269.10 and 542,237.60

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Solution

The fourth proportional to 950,429, 1,311,269.10 and 542,237.60 is: 748,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,429 : 1,311,269.10 = 542,237.60 : x
  2. Step 2: Convert to fraction form
    950,429/1,311,269.10 = 542,237.60/x
  3. Step 3: Cross multiply
    950,429x = 1,311,269.10 × 542,237.60
  4. Step 4: Simplify right side
    950,429x = 711,019,409,738.16
  5. Step 5: Solve for x
    x = 711,019,409,738.16/950,429
  6. Step 6: Final answer
    x = 748,103.66

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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.