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Finding the Fourth Proportional to 397,365.60, 596,048.40 and 172,687.80

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Solution

The fourth proportional to 397,365.60, 596,048.40 and 172,687.80 is: 259,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,365.60 : 596,048.40 = 172,687.80 : x
  2. Step 2: Convert to fraction form
    397,365.60/596,048.40 = 172,687.80/x
  3. Step 3: Cross multiply
    397,365.60x = 596,048.40 × 172,687.80
  4. Step 4: Simplify right side
    397,365.60x = 102,930,286,889.52
  5. Step 5: Solve for x
    x = 102,930,286,889.52/397,365.60
  6. Step 6: Final answer
    x = 259,031.70

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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.