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Finding the Fourth Proportional to 542,129.86, 813,939.59 and 276,069.16

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Solution

The fourth proportional to 542,129.86, 813,939.59 and 276,069.16 is: 414,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,129.86 : 813,939.59 = 276,069.16 : x
  2. Step 2: Convert to fraction form
    542,129.86/813,939.59 = 276,069.16/x
  3. Step 3: Cross multiply
    542,129.86x = 813,939.59 × 276,069.16
  4. Step 4: Simplify right side
    542,129.86x = 224,703,618,902.04
  5. Step 5: Solve for x
    x = 224,703,618,902.04/542,129.86
  6. Step 6: Final answer
    x = 414,483.02

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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.