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Finding the Fourth Proportional to 288,343.68, 397,897.80 and 172,188.24

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Solution

The fourth proportional to 288,343.68, 397,897.80 and 172,188.24 is: 237,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,343.68 : 397,897.80 = 172,188.24 : x
  2. Step 2: Convert to fraction form
    288,343.68/397,897.80 = 172,188.24/x
  3. Step 3: Cross multiply
    288,343.68x = 397,897.80 × 172,188.24
  4. Step 4: Simplify right side
    288,343.68x = 68,513,321,881.87
  5. Step 5: Solve for x
    x = 68,513,321,881.87/288,343.68
  6. Step 6: Final answer
    x = 237,609.93

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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.