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Finding the Fourth Proportional to 542,473.28, 813,598.72 and 205,397.64

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Solution

The fourth proportional to 542,473.28, 813,598.72 and 205,397.64 is: 308,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,473.28 : 813,598.72 = 205,397.64 : x
  2. Step 2: Convert to fraction form
    542,473.28/813,598.72 = 205,397.64/x
  3. Step 3: Cross multiply
    542,473.28x = 813,598.72 × 205,397.64
  4. Step 4: Simplify right side
    542,473.28x = 167,111,256,995.02
  5. Step 5: Solve for x
    x = 167,111,256,995.02/542,473.28
  6. Step 6: Final answer
    x = 308,054.36

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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.