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Finding the Fourth Proportional to 438,145, 657,151.58 and 122,561

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Solution

The fourth proportional to 438,145, 657,151.58 and 122,561 is: 183,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,145 : 657,151.58 = 122,561 : x
  2. Step 2: Convert to fraction form
    438,145/657,151.58 = 122,561/x
  3. Step 3: Cross multiply
    438,145x = 657,151.58 × 122,561
  4. Step 4: Simplify right side
    438,145x = 80,541,154,796.38
  5. Step 5: Solve for x
    x = 80,541,154,796.38/438,145
  6. Step 6: Final answer
    x = 183,823.06

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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.