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Finding the Fourth Proportional to 438,046.30, 657,074.67 and 171,932.14

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Solution

The fourth proportional to 438,046.30, 657,074.67 and 171,932.14 is: 257,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,046.30 : 657,074.67 = 171,932.14 : x
  2. Step 2: Convert to fraction form
    438,046.30/657,074.67 = 171,932.14/x
  3. Step 3: Cross multiply
    438,046.30x = 657,074.67 × 171,932.14
  4. Step 4: Simplify right side
    438,046.30x = 112,972,254,152.89
  5. Step 5: Solve for x
    x = 112,972,254,152.89/438,046.30
  6. Step 6: Final answer
    x = 257,900.26

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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.