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Finding the Fourth Proportional to 546,805.68, 820,251.42 and 147,440.40

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Solution

The fourth proportional to 546,805.68, 820,251.42 and 147,440.40 is: 221,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,805.68 : 820,251.42 = 147,440.40 : x
  2. Step 2: Convert to fraction form
    546,805.68/820,251.42 = 147,440.40/x
  3. Step 3: Cross multiply
    546,805.68x = 820,251.42 × 147,440.40
  4. Step 4: Simplify right side
    546,805.68x = 120,938,197,465.37
  5. Step 5: Solve for x
    x = 120,938,197,465.37/546,805.68
  6. Step 6: Final answer
    x = 221,172.17

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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.