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Finding the Fourth Proportional to 288,603.80, 432,913.09 and 136,765.25

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Solution

The fourth proportional to 288,603.80, 432,913.09 and 136,765.25 is: 205,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,603.80 : 432,913.09 = 136,765.25 : x
  2. Step 2: Convert to fraction form
    288,603.80/432,913.09 = 136,765.25/x
  3. Step 3: Cross multiply
    288,603.80x = 432,913.09 × 136,765.25
  4. Step 4: Simplify right side
    288,603.80x = 59,207,466,982.12
  5. Step 5: Solve for x
    x = 59,207,466,982.12/288,603.80
  6. Step 6: Final answer
    x = 205,151.38

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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.