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Finding the Fourth Proportional to 354,314.40, 532,290.80 and 243,722.40

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Solution

The fourth proportional to 354,314.40, 532,290.80 and 243,722.40 is: 366,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314.40 : 532,290.80 = 243,722.40 : x
  2. Step 2: Convert to fraction form
    354,314.40/532,290.80 = 243,722.40/x
  3. Step 3: Cross multiply
    354,314.40x = 532,290.80 × 243,722.40
  4. Step 4: Simplify right side
    354,314.40x = 129,731,191,273.92
  5. Step 5: Solve for x
    x = 129,731,191,273.92/354,314.40
  6. Step 6: Final answer
    x = 366,147.10

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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.