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Finding the Fourth Proportional to 438,714.42, 657,072.90 and 343,349.88

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Solution

The fourth proportional to 438,714.42, 657,072.90 and 343,349.88 is: 514,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,714.42 : 657,072.90 = 343,349.88 : x
  2. Step 2: Convert to fraction form
    438,714.42/657,072.90 = 343,349.88/x
  3. Step 3: Cross multiply
    438,714.42x = 657,072.90 × 343,349.88
  4. Step 4: Simplify right side
    438,714.42x = 225,605,901,366.25
  5. Step 5: Solve for x
    x = 225,605,901,366.25/438,714.42
  6. Step 6: Final answer
    x = 514,243.19

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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.