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Finding the Fourth Proportional to 565,515.28, 780,411.92 and 310,868.02

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Solution

The fourth proportional to 565,515.28, 780,411.92 and 310,868.02 is: 428,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,515.28 : 780,411.92 = 310,868.02 : x
  2. Step 2: Convert to fraction form
    565,515.28/780,411.92 = 310,868.02/x
  3. Step 3: Cross multiply
    565,515.28x = 780,411.92 × 310,868.02
  4. Step 4: Simplify right side
    565,515.28x = 242,605,108,354.80
  5. Step 5: Solve for x
    x = 242,605,108,354.80/565,515.28
  6. Step 6: Final answer
    x = 428,998.33

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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.