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Finding the Fourth Proportional to 288,500.70, 432,750.99 and 120,017.82

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Solution

The fourth proportional to 288,500.70, 432,750.99 and 120,017.82 is: 180,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,500.70 : 432,750.99 = 120,017.82 : x
  2. Step 2: Convert to fraction form
    288,500.70/432,750.99 = 120,017.82/x
  3. Step 3: Cross multiply
    288,500.70x = 432,750.99 × 120,017.82
  4. Step 4: Simplify right side
    288,500.70x = 51,937,830,422.64
  5. Step 5: Solve for x
    x = 51,937,830,422.64/288,500.70
  6. Step 6: Final answer
    x = 180,026.71

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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.