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Finding the Fourth Proportional to 565,431.28, 780,285.16 and 310,782.40

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Solution

The fourth proportional to 565,431.28, 780,285.16 and 310,782.40 is: 428,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,431.28 : 780,285.16 = 310,782.40 : x
  2. Step 2: Convert to fraction form
    565,431.28/780,285.16 = 310,782.40/x
  3. Step 3: Cross multiply
    565,431.28x = 780,285.16 × 310,782.40
  4. Step 4: Simplify right side
    565,431.28x = 242,498,894,709.18
  5. Step 5: Solve for x
    x = 242,498,894,709.18/565,431.28
  6. Step 6: Final answer
    x = 428,874.21

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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.