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Finding the Fourth Proportional to 546,122.96, 753,648 and 304,402.80

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Solution

The fourth proportional to 546,122.96, 753,648 and 304,402.80 is: 420,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,122.96 : 753,648 = 304,402.80 : x
  2. Step 2: Convert to fraction form
    546,122.96/753,648 = 304,402.80/x
  3. Step 3: Cross multiply
    546,122.96x = 753,648 × 304,402.80
  4. Step 4: Simplify right side
    546,122.96x = 229,412,561,414.40
  5. Step 5: Solve for x
    x = 229,412,561,414.40/546,122.96
  6. Step 6: Final answer
    x = 420,074.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.