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Finding the Fourth Proportional to 438,767.40, 657,978.30 and 158,140.20

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Solution

The fourth proportional to 438,767.40, 657,978.30 and 158,140.20 is: 237,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,767.40 : 657,978.30 = 158,140.20 : x
  2. Step 2: Convert to fraction form
    438,767.40/657,978.30 = 158,140.20/x
  3. Step 3: Cross multiply
    438,767.40x = 657,978.30 × 158,140.20
  4. Step 4: Simplify right side
    438,767.40x = 104,052,819,957.66
  5. Step 5: Solve for x
    x = 104,052,819,957.66/438,767.40
  6. Step 6: Final answer
    x = 237,148.02

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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.