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Finding the Fourth Proportional to 546,710.16, 820,009.87 and 147,391.30

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Solution

The fourth proportional to 546,710.16, 820,009.87 and 147,391.30 is: 221,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,710.16 : 820,009.87 = 147,391.30 : x
  2. Step 2: Convert to fraction form
    546,710.16/820,009.87 = 147,391.30/x
  3. Step 3: Cross multiply
    546,710.16x = 820,009.87 × 147,391.30
  4. Step 4: Simplify right side
    546,710.16x = 120,862,318,333.63
  5. Step 5: Solve for x
    x = 120,862,318,333.63/546,710.16
  6. Step 6: Final answer
    x = 221,072.02

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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.