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Finding the Fourth Proportional to 288,792.80, 433,124.40 and 138,956.57

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Solution

The fourth proportional to 288,792.80, 433,124.40 and 138,956.57 is: 208,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,792.80 : 433,124.40 = 138,956.57 : x
  2. Step 2: Convert to fraction form
    288,792.80/433,124.40 = 138,956.57/x
  3. Step 3: Cross multiply
    288,792.80x = 433,124.40 × 138,956.57
  4. Step 4: Simplify right side
    288,792.80x = 60,185,481,007.31
  5. Step 5: Solve for x
    x = 60,185,481,007.31/288,792.80
  6. Step 6: Final answer
    x = 208,403.68

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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.