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Finding the Fourth Proportional to 438,081.76, 657,122.64 and 171,967.60

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Solution

The fourth proportional to 438,081.76, 657,122.64 and 171,967.60 is: 257,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,081.76 : 657,122.64 = 171,967.60 : x
  2. Step 2: Convert to fraction form
    438,081.76/657,122.64 = 171,967.60/x
  3. Step 3: Cross multiply
    438,081.76x = 657,122.64 × 171,967.60
  4. Step 4: Simplify right side
    438,081.76x = 113,003,803,306.46
  5. Step 5: Solve for x
    x = 113,003,803,306.46/438,081.76
  6. Step 6: Final answer
    x = 257,951.40

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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.