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Finding the Fourth Proportional to 565,252.38, 780,039.42 and 310,598.10

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Solution

The fourth proportional to 565,252.38, 780,039.42 and 310,598.10 is: 428,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,252.38 : 780,039.42 = 310,598.10 : x
  2. Step 2: Convert to fraction form
    565,252.38/780,039.42 = 310,598.10/x
  3. Step 3: Cross multiply
    565,252.38x = 780,039.42 × 310,598.10
  4. Step 4: Simplify right side
    565,252.38x = 242,278,761,777.10
  5. Step 5: Solve for x
    x = 242,278,761,777.10/565,252.38
  6. Step 6: Final answer
    x = 428,620.51

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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.