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Finding the Fourth Proportional to 564,713.12, 779,304.96 and 310,080.56

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Solution

The fourth proportional to 564,713.12, 779,304.96 and 310,080.56 is: 427,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,713.12 : 779,304.96 = 310,080.56 : x
  2. Step 2: Convert to fraction form
    564,713.12/779,304.96 = 310,080.56/x
  3. Step 3: Cross multiply
    564,713.12x = 779,304.96 × 310,080.56
  4. Step 4: Simplify right side
    564,713.12x = 241,647,318,407.58
  5. Step 5: Solve for x
    x = 241,647,318,407.58/564,713.12
  6. Step 6: Final answer
    x = 427,911.64

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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.