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Finding the Fourth Proportional to 343,875.20, 516,201.60 and 265,337.60

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Solution

The fourth proportional to 343,875.20, 516,201.60 and 265,337.60 is: 398,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,875.20 : 516,201.60 = 265,337.60 : x
  2. Step 2: Convert to fraction form
    343,875.20/516,201.60 = 265,337.60/x
  3. Step 3: Cross multiply
    343,875.20x = 516,201.60 × 265,337.60
  4. Step 4: Simplify right side
    343,875.20x = 136,967,693,660.16
  5. Step 5: Solve for x
    x = 136,967,693,660.16/343,875.20
  6. Step 6: Final answer
    x = 398,306.40

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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.