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Finding the Fourth Proportional to 566,205.75, 781,369.41 and 311,562.42

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Solution

The fourth proportional to 566,205.75, 781,369.41 and 311,562.42 is: 429,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,205.75 : 781,369.41 = 311,562.42 : x
  2. Step 2: Convert to fraction form
    566,205.75/781,369.41 = 311,562.42/x
  3. Step 3: Cross multiply
    566,205.75x = 781,369.41 × 311,562.42
  4. Step 4: Simplify right side
    566,205.75x = 243,445,344,293.57
  5. Step 5: Solve for x
    x = 243,445,344,293.57/566,205.75
  6. Step 6: Final answer
    x = 429,959.15

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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.