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Finding the Fourth Proportional to 565,512.30, 780,387.15 and 310,861.65

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Solution

The fourth proportional to 565,512.30, 780,387.15 and 310,861.65 is: 428,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512.30 : 780,387.15 = 310,861.65 : x
  2. Step 2: Convert to fraction form
    565,512.30/780,387.15 = 310,861.65/x
  3. Step 3: Cross multiply
    565,512.30x = 780,387.15 × 310,861.65
  4. Step 4: Simplify right side
    565,512.30x = 242,592,437,087.80
  5. Step 5: Solve for x
    x = 242,592,437,087.80/565,512.30
  6. Step 6: Final answer
    x = 428,978.18

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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.