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Finding the Fourth Proportional to 288,176.28, 432,286.28 and 77,811.16

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Solution

The fourth proportional to 288,176.28, 432,286.28 and 77,811.16 is: 116,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,176.28 : 432,286.28 = 77,811.16 : x
  2. Step 2: Convert to fraction form
    288,176.28/432,286.28 = 77,811.16/x
  3. Step 3: Cross multiply
    288,176.28x = 432,286.28 × 77,811.16
  4. Step 4: Simplify right side
    288,176.28x = 33,636,696,898.88
  5. Step 5: Solve for x
    x = 33,636,696,898.88/288,176.28
  6. Step 6: Final answer
    x = 116,722.64

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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.