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Finding the Fourth Proportional to 546,916.20, 820,374.30 and 247,406.55

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Solution

The fourth proportional to 546,916.20, 820,374.30 and 247,406.55 is: 371,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,916.20 : 820,374.30 = 247,406.55 : x
  2. Step 2: Convert to fraction form
    546,916.20/820,374.30 = 247,406.55/x
  3. Step 3: Cross multiply
    546,916.20x = 820,374.30 × 247,406.55
  4. Step 4: Simplify right side
    546,916.20x = 202,965,975,271.67
  5. Step 5: Solve for x
    x = 202,965,975,271.67/546,916.20
  6. Step 6: Final answer
    x = 371,109.83

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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.