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Finding the Fourth Proportional to 288,577.43, 432,866.15 and 78,215.37

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Solution

The fourth proportional to 288,577.43, 432,866.15 and 78,215.37 is: 117,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,577.43 : 432,866.15 = 78,215.37 : x
  2. Step 2: Convert to fraction form
    288,577.43/432,866.15 = 78,215.37/x
  3. Step 3: Cross multiply
    288,577.43x = 432,866.15 × 78,215.37
  4. Step 4: Simplify right side
    288,577.43x = 33,856,786,278.26
  5. Step 5: Solve for x
    x = 33,856,786,278.26/288,577.43
  6. Step 6: Final answer
    x = 117,323.06

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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.