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Finding the Fourth Proportional to 288,675.85, 433,053.87 and 89,011.93

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Solution

The fourth proportional to 288,675.85, 433,053.87 and 89,011.93 is: 133,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,675.85 : 433,053.87 = 89,011.93 : x
  2. Step 2: Convert to fraction form
    288,675.85/433,053.87 = 89,011.93/x
  3. Step 3: Cross multiply
    288,675.85x = 433,053.87 × 89,011.93
  4. Step 4: Simplify right side
    288,675.85x = 38,546,960,762.67
  5. Step 5: Solve for x
    x = 38,546,960,762.67/288,675.85
  6. Step 6: Final answer
    x = 133,530.26

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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.