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Finding the Fourth Proportional to 428,903.30, 591,957.52 and 237,978.20

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Solution

The fourth proportional to 428,903.30, 591,957.52 and 237,978.20 is: 328,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,903.30 : 591,957.52 = 237,978.20 : x
  2. Step 2: Convert to fraction form
    428,903.30/591,957.52 = 237,978.20/x
  3. Step 3: Cross multiply
    428,903.30x = 591,957.52 × 237,978.20
  4. Step 4: Simplify right side
    428,903.30x = 140,872,985,971.01
  5. Step 5: Solve for x
    x = 140,872,985,971.01/428,903.30
  6. Step 6: Final answer
    x = 328,449.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.