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Finding the Fourth Proportional to 288,340.43, 432,477.81 and 77,961.96

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Solution

The fourth proportional to 288,340.43, 432,477.81 and 77,961.96 is: 116,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,340.43 : 432,477.81 = 77,961.96 : x
  2. Step 2: Convert to fraction form
    288,340.43/432,477.81 = 77,961.96/x
  3. Step 3: Cross multiply
    288,340.43x = 432,477.81 × 77,961.96
  4. Step 4: Simplify right side
    288,340.43x = 33,716,817,724.11
  5. Step 5: Solve for x
    x = 33,716,817,724.11/288,340.43
  6. Step 6: Final answer
    x = 116,934.06

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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.