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Finding the Fourth Proportional to 564,840, 847,610.16 and 328,294.08

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Solution

The fourth proportional to 564,840, 847,610.16 and 328,294.08 is: 492,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,840 : 847,610.16 = 328,294.08 : x
  2. Step 2: Convert to fraction form
    564,840/847,610.16 = 328,294.08/x
  3. Step 3: Cross multiply
    564,840x = 847,610.16 × 328,294.08
  4. Step 4: Simplify right side
    564,840x = 278,265,397,675.85
  5. Step 5: Solve for x
    x = 278,265,397,675.85/564,840
  6. Step 6: Final answer
    x = 492,644.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.