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Finding the Fourth Proportional to 288,430.20, 432,686.70 and 88,767.48

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Solution

The fourth proportional to 288,430.20, 432,686.70 and 88,767.48 is: 133,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,430.20 : 432,686.70 = 88,767.48 : x
  2. Step 2: Convert to fraction form
    288,430.20/432,686.70 = 88,767.48/x
  3. Step 3: Cross multiply
    288,430.20x = 432,686.70 × 88,767.48
  4. Step 4: Simplify right side
    288,430.20x = 38,408,507,988.52
  5. Step 5: Solve for x
    x = 38,408,507,988.52/288,430.20
  6. Step 6: Final answer
    x = 133,163.96

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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.