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Finding the Fourth Proportional to 547,870, 821,805 and 148,510.77

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Solution

The fourth proportional to 547,870, 821,805 and 148,510.77 is: 222,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,870 : 821,805 = 148,510.77 : x
  2. Step 2: Convert to fraction form
    547,870/821,805 = 148,510.77/x
  3. Step 3: Cross multiply
    547,870x = 821,805 × 148,510.77
  4. Step 4: Simplify right side
    547,870x = 122,046,893,339.85
  5. Step 5: Solve for x
    x = 122,046,893,339.85/547,870
  6. Step 6: Final answer
    x = 222,766.16

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1.5x scale

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.