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Finding the Fourth Proportional to 438,342.40, 657,027.60 and 172,014.40

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Solution

The fourth proportional to 438,342.40, 657,027.60 and 172,014.40 is: 257,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,342.40 : 657,027.60 = 172,014.40 : x
  2. Step 2: Convert to fraction form
    438,342.40/657,027.60 = 172,014.40/x
  3. Step 3: Cross multiply
    438,342.40x = 657,027.60 × 172,014.40
  4. Step 4: Simplify right side
    438,342.40x = 113,018,208,397.44
  5. Step 5: Solve for x
    x = 113,018,208,397.44/438,342.40
  6. Step 6: Final answer
    x = 257,830.88

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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.