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Finding the Fourth Proportional to 557,560.84, 769,436.96 and 342,841.20

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Solution

The fourth proportional to 557,560.84, 769,436.96 and 342,841.20 is: 473,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,560.84 : 769,436.96 = 342,841.20 : x
  2. Step 2: Convert to fraction form
    557,560.84/769,436.96 = 342,841.20/x
  3. Step 3: Cross multiply
    557,560.84x = 769,436.96 × 342,841.20
  4. Step 4: Simplify right side
    557,560.84x = 263,794,690,690.75
  5. Step 5: Solve for x
    x = 263,794,690,690.75/557,560.84
  6. Step 6: Final answer
    x = 473,122.70

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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.