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Finding the Fourth Proportional to 546,952.20, 820,389.42 and 147,615.72

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Solution

The fourth proportional to 546,952.20, 820,389.42 and 147,615.72 is: 221,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,952.20 : 820,389.42 = 147,615.72 : x
  2. Step 2: Convert to fraction form
    546,952.20/820,389.42 = 147,615.72/x
  3. Step 3: Cross multiply
    546,952.20x = 820,389.42 × 147,615.72
  4. Step 4: Simplify right side
    546,952.20x = 121,102,374,913.68
  5. Step 5: Solve for x
    x = 121,102,374,913.68/546,952.20
  6. Step 6: Final answer
    x = 221,413.09

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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.