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Finding the Fourth Proportional to 438,538.41, 657,807.75 and 154,438.74

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Solution

The fourth proportional to 438,538.41, 657,807.75 and 154,438.74 is: 231,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,538.41 : 657,807.75 = 154,438.74 : x
  2. Step 2: Convert to fraction form
    438,538.41/657,807.75 = 154,438.74/x
  3. Step 3: Cross multiply
    438,538.41x = 657,807.75 × 154,438.74
  4. Step 4: Simplify right side
    438,538.41x = 101,591,000,072.24
  5. Step 5: Solve for x
    x = 101,591,000,072.24/438,538.41
  6. Step 6: Final answer
    x = 231,658.16

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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.