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Finding the Fourth Proportional to 565,694.32, 780,661.08 and 311,062

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Solution

The fourth proportional to 565,694.32, 780,661.08 and 311,062 is: 429,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,694.32 : 780,661.08 = 311,062 : x
  2. Step 2: Convert to fraction form
    565,694.32/780,661.08 = 311,062/x
  3. Step 3: Cross multiply
    565,694.32x = 780,661.08 × 311,062
  4. Step 4: Simplify right side
    565,694.32x = 242,833,996,866.96
  5. Step 5: Solve for x
    x = 242,833,996,866.96/565,694.32
  6. Step 6: Final answer
    x = 429,267.16

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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.