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Finding the Fourth Proportional to 557,217.12, 768,566.16 and 342,478.02

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Solution

The fourth proportional to 557,217.12, 768,566.16 and 342,478.02 is: 472,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,217.12 : 768,566.16 = 342,478.02 : x
  2. Step 2: Convert to fraction form
    557,217.12/768,566.16 = 342,478.02/x
  3. Step 3: Cross multiply
    557,217.12x = 768,566.16 × 342,478.02
  4. Step 4: Simplify right side
    557,217.12x = 263,217,016,715.80
  5. Step 5: Solve for x
    x = 263,217,016,715.80/557,217.12
  6. Step 6: Final answer
    x = 472,377.83

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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.