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Finding the Fourth Proportional to 542,489.40, 748,483.47 and 316,091.16

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Solution

The fourth proportional to 542,489.40, 748,483.47 and 316,091.16 is: 436,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,489.40 : 748,483.47 = 316,091.16 : x
  2. Step 2: Convert to fraction form
    542,489.40/748,483.47 = 316,091.16/x
  3. Step 3: Cross multiply
    542,489.40x = 748,483.47 × 316,091.16
  4. Step 4: Simplify right side
    542,489.40x = 236,589,008,273.13
  5. Step 5: Solve for x
    x = 236,589,008,273.13/542,489.40
  6. Step 6: Final answer
    x = 436,117.29

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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.