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Finding the Fourth Proportional to 546,750.20, 820,125.30 and 458,176.70

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Solution

The fourth proportional to 546,750.20, 820,125.30 and 458,176.70 is: 687,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,750.20 : 820,125.30 = 458,176.70 : x
  2. Step 2: Convert to fraction form
    546,750.20/820,125.30 = 458,176.70/x
  3. Step 3: Cross multiply
    546,750.20x = 820,125.30 × 458,176.70
  4. Step 4: Simplify right side
    546,750.20x = 375,762,303,540.51
  5. Step 5: Solve for x
    x = 375,762,303,540.51/546,750.20
  6. Step 6: Final answer
    x = 687,265.05

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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.