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Finding the Fourth Proportional to 288,282.39, 432,434.52 and 77,920.41

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Solution

The fourth proportional to 288,282.39, 432,434.52 and 77,920.41 is: 116,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,282.39 : 432,434.52 = 77,920.41 : x
  2. Step 2: Convert to fraction form
    288,282.39/432,434.52 = 77,920.41/x
  3. Step 3: Cross multiply
    288,282.39x = 432,434.52 × 77,920.41
  4. Step 4: Simplify right side
    288,282.39x = 33,695,475,096.55
  5. Step 5: Solve for x
    x = 33,695,475,096.55/288,282.39
  6. Step 6: Final answer
    x = 116,883.57

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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.