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Finding the Fourth Proportional to 288,556.40, 432,834.71 and 75,323.72

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Solution

The fourth proportional to 288,556.40, 432,834.71 and 75,323.72 is: 112,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,556.40 : 432,834.71 = 75,323.72 : x
  2. Step 2: Convert to fraction form
    288,556.40/432,834.71 = 75,323.72/x
  3. Step 3: Cross multiply
    288,556.40x = 432,834.71 × 75,323.72
  4. Step 4: Simplify right side
    288,556.40x = 32,602,721,843.33
  5. Step 5: Solve for x
    x = 32,602,721,843.33/288,556.40
  6. Step 6: Final answer
    x = 112,985.61

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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.