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Finding the Fourth Proportional to 287,065.28, 430,627.28 and 109,721.56

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Solution

The fourth proportional to 287,065.28, 430,627.28 and 109,721.56 is: 164,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,065.28 : 430,627.28 = 109,721.56 : x
  2. Step 2: Convert to fraction form
    287,065.28/430,627.28 = 109,721.56/x
  3. Step 3: Cross multiply
    287,065.28x = 430,627.28 × 109,721.56
  4. Step 4: Simplify right side
    287,065.28x = 47,249,096,940.16
  5. Step 5: Solve for x
    x = 47,249,096,940.16/287,065.28
  6. Step 6: Final answer
    x = 164,593.56

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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.