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Finding the Fourth Proportional to 546,919.10, 820,378.65 and 406,951.10

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Solution

The fourth proportional to 546,919.10, 820,378.65 and 406,951.10 is: 610,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,919.10 : 820,378.65 = 406,951.10 : x
  2. Step 2: Convert to fraction form
    546,919.10/820,378.65 = 406,951.10/x
  3. Step 3: Cross multiply
    546,919.10x = 820,378.65 × 406,951.10
  4. Step 4: Simplify right side
    546,919.10x = 333,853,994,034.02
  5. Step 5: Solve for x
    x = 333,853,994,034.02/546,919.10
  6. Step 6: Final answer
    x = 610,426.65

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Similar ratio
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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.