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Finding the Fourth Proportional to 564,043.75, 778,380.38 and 309,395.55

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Solution

The fourth proportional to 564,043.75, 778,380.38 and 309,395.55 is: 426,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,043.75 : 778,380.38 = 309,395.55 : x
  2. Step 2: Convert to fraction form
    564,043.75/778,380.38 = 309,395.55/x
  3. Step 3: Cross multiply
    564,043.75x = 778,380.38 × 309,395.55
  4. Step 4: Simplify right side
    564,043.75x = 240,827,420,340.43
  5. Step 5: Solve for x
    x = 240,827,420,340.43/564,043.75
  6. Step 6: Final answer
    x = 426,965.85

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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.