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Finding the Fourth Proportional to 546,941.20, 820,406.40 and 172,964.20

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Solution

The fourth proportional to 546,941.20, 820,406.40 and 172,964.20 is: 259,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,941.20 : 820,406.40 = 172,964.20 : x
  2. Step 2: Convert to fraction form
    546,941.20/820,406.40 = 172,964.20/x
  3. Step 3: Cross multiply
    546,941.20x = 820,406.40 × 172,964.20
  4. Step 4: Simplify right side
    546,941.20x = 141,900,936,650.88
  5. Step 5: Solve for x
    x = 141,900,936,650.88/546,941.20
  6. Step 6: Final answer
    x = 259,444.59

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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.