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Finding the Fourth Proportional to 438,082.90, 657,124.35 and 105,658.90

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Solution

The fourth proportional to 438,082.90, 657,124.35 and 105,658.90 is: 158,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,082.90 : 657,124.35 = 105,658.90 : x
  2. Step 2: Convert to fraction form
    438,082.90/657,124.35 = 105,658.90/x
  3. Step 3: Cross multiply
    438,082.90x = 657,124.35 × 105,658.90
  4. Step 4: Simplify right side
    438,082.90x = 69,431,035,984.22
  5. Step 5: Solve for x
    x = 69,431,035,984.22/438,082.90
  6. Step 6: Final answer
    x = 158,488.35

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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.