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Finding the Fourth Proportional to 704,854.68, 1,057,272.85 and 172,380.32

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Solution

The fourth proportional to 704,854.68, 1,057,272.85 and 172,380.32 is: 258,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,854.68 : 1,057,272.85 = 172,380.32 : x
  2. Step 2: Convert to fraction form
    704,854.68/1,057,272.85 = 172,380.32/x
  3. Step 3: Cross multiply
    704,854.68x = 1,057,272.85 × 172,380.32
  4. Step 4: Simplify right side
    704,854.68x = 182,253,032,210.31
  5. Step 5: Solve for x
    x = 182,253,032,210.31/704,854.68
  6. Step 6: Final answer
    x = 258,568.24

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Why These Related Problems?

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