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Finding the Fourth Proportional to 288,941.94, 433,334.07 and 86,490.54

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Solution

The fourth proportional to 288,941.94, 433,334.07 and 86,490.54 is: 129,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,941.94 : 433,334.07 = 86,490.54 : x
  2. Step 2: Convert to fraction form
    288,941.94/433,334.07 = 86,490.54/x
  3. Step 3: Cross multiply
    288,941.94x = 433,334.07 × 86,490.54
  4. Step 4: Simplify right side
    288,941.94x = 37,479,297,714.70
  5. Step 5: Solve for x
    x = 37,479,297,714.70/288,941.94
  6. Step 6: Final answer
    x = 129,712.21

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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.