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Finding the Fourth Proportional to 287,061.28, 430,621.28 and 109,717.56

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Solution

The fourth proportional to 287,061.28, 430,621.28 and 109,717.56 is: 164,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,061.28 : 430,621.28 = 109,717.56 : x
  2. Step 2: Convert to fraction form
    287,061.28/430,621.28 = 109,717.56/x
  3. Step 3: Cross multiply
    287,061.28x = 430,621.28 × 109,717.56
  4. Step 4: Simplify right side
    287,061.28x = 47,246,716,125.68
  5. Step 5: Solve for x
    x = 47,246,716,125.68/287,061.28
  6. Step 6: Final answer
    x = 164,587.56

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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.