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Finding the Fourth Proportional to 288,556.80, 432,835.20 and 155,696.55

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Solution

The fourth proportional to 288,556.80, 432,835.20 and 155,696.55 is: 233,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,556.80 : 432,835.20 = 155,696.55 : x
  2. Step 2: Convert to fraction form
    288,556.80/432,835.20 = 155,696.55/x
  3. Step 3: Cross multiply
    288,556.80x = 432,835.20 × 155,696.55
  4. Step 4: Simplify right side
    288,556.80x = 67,390,947,358.56
  5. Step 5: Solve for x
    x = 67,390,947,358.56/288,556.80
  6. Step 6: Final answer
    x = 233,544.83

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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.