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Finding the Fourth Proportional to 542,488.20, 813,566.16 and 375,084.28

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Solution

The fourth proportional to 542,488.20, 813,566.16 and 375,084.28 is: 562,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,488.20 : 813,566.16 = 375,084.28 : x
  2. Step 2: Convert to fraction form
    542,488.20/813,566.16 = 375,084.28/x
  3. Step 3: Cross multiply
    542,488.20x = 813,566.16 × 375,084.28
  4. Step 4: Simplify right side
    542,488.20x = 305,155,881,099.39
  5. Step 5: Solve for x
    x = 305,155,881,099.39/542,488.20
  6. Step 6: Final answer
    x = 562,511.56

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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.