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Finding the Fourth Proportional to 546,971.74, 820,458.52 and 147,612.78

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Solution

The fourth proportional to 546,971.74, 820,458.52 and 147,612.78 is: 221,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,971.74 : 820,458.52 = 147,612.78 : x
  2. Step 2: Convert to fraction form
    546,971.74/820,458.52 = 147,612.78/x
  3. Step 3: Cross multiply
    546,971.74x = 820,458.52 × 147,612.78
  4. Step 4: Simplify right side
    546,971.74x = 121,110,162,642.85
  5. Step 5: Solve for x
    x = 121,110,162,642.85/546,971.74
  6. Step 6: Final answer
    x = 221,419.42

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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.