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Finding the Fourth Proportional to 288,343.94, 432,608.44 and 138,595.08

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Solution

The fourth proportional to 288,343.94, 432,608.44 and 138,595.08 is: 207,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,343.94 : 432,608.44 = 138,595.08 : x
  2. Step 2: Convert to fraction form
    288,343.94/432,608.44 = 138,595.08/x
  3. Step 3: Cross multiply
    288,343.94x = 432,608.44 × 138,595.08
  4. Step 4: Simplify right side
    288,343.94x = 59,957,401,350.48
  5. Step 5: Solve for x
    x = 59,957,401,350.48/288,343.94
  6. Step 6: Final answer
    x = 207,937.10

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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.