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Finding the Fourth Proportional to 288,699.72, 433,021.70 and 88,966.48

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Solution

The fourth proportional to 288,699.72, 433,021.70 and 88,966.48 is: 133,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,699.72 : 433,021.70 = 88,966.48 : x
  2. Step 2: Convert to fraction form
    288,699.72/433,021.70 = 88,966.48/x
  3. Step 3: Cross multiply
    288,699.72x = 433,021.70 × 88,966.48
  4. Step 4: Simplify right side
    288,699.72x = 38,524,415,552.48
  5. Step 5: Solve for x
    x = 38,524,415,552.48/288,699.72
  6. Step 6: Final answer
    x = 133,441.13

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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.