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Finding the Fourth Proportional to 343,897.20, 516,234.60 and 265,359.60

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Solution

The fourth proportional to 343,897.20, 516,234.60 and 265,359.60 is: 398,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,897.20 : 516,234.60 = 265,359.60 : x
  2. Step 2: Convert to fraction form
    343,897.20/516,234.60 = 265,359.60/x
  3. Step 3: Cross multiply
    343,897.20x = 516,234.60 × 265,359.60
  4. Step 4: Simplify right side
    343,897.20x = 136,987,806,962.16
  5. Step 5: Solve for x
    x = 136,987,806,962.16/343,897.20
  6. Step 6: Final answer
    x = 398,339.41

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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.