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Finding the Fourth Proportional to 546,972.21, 820,134.32 and 187,015.70

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Solution

The fourth proportional to 546,972.21, 820,134.32 and 187,015.70 is: 280,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,972.21 : 820,134.32 = 187,015.70 : x
  2. Step 2: Convert to fraction form
    546,972.21/820,134.32 = 187,015.70/x
  3. Step 3: Cross multiply
    546,972.21x = 820,134.32 × 187,015.70
  4. Step 4: Simplify right side
    546,972.21x = 153,377,995,064.08
  5. Step 5: Solve for x
    x = 153,377,995,064.08/546,972.21
  6. Step 6: Final answer
    x = 280,412.77

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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.