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Finding the Fourth Proportional to 472,037.20, 707,957.40 and 172,658.80

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Solution

The fourth proportional to 472,037.20, 707,957.40 and 172,658.80 is: 258,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,037.20 : 707,957.40 = 172,658.80 : x
  2. Step 2: Convert to fraction form
    472,037.20/707,957.40 = 172,658.80/x
  3. Step 3: Cross multiply
    472,037.20x = 707,957.40 × 172,658.80
  4. Step 4: Simplify right side
    472,037.20x = 122,235,075,135.12
  5. Step 5: Solve for x
    x = 122,235,075,135.12/472,037.20
  6. Step 6: Final answer
    x = 258,952.21

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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.