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Finding the Fourth Proportional to 542,161.50, 748,162.80 and 312,728.28

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Solution

The fourth proportional to 542,161.50, 748,162.80 and 312,728.28 is: 431,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,161.50 : 748,162.80 = 312,728.28 : x
  2. Step 2: Convert to fraction form
    542,161.50/748,162.80 = 312,728.28/x
  3. Step 3: Cross multiply
    542,161.50x = 748,162.80 × 312,728.28
  4. Step 4: Simplify right side
    542,161.50x = 233,971,665,603.98
  5. Step 5: Solve for x
    x = 233,971,665,603.98/542,161.50
  6. Step 6: Final answer
    x = 431,553.45

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1.5x scale

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.