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Finding the Fourth Proportional to 607,921.40, 911,882.10 and 164,689.40

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Solution

The fourth proportional to 607,921.40, 911,882.10 and 164,689.40 is: 247,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,921.40 : 911,882.10 = 164,689.40 : x
  2. Step 2: Convert to fraction form
    607,921.40/911,882.10 = 164,689.40/x
  3. Step 3: Cross multiply
    607,921.40x = 911,882.10 × 164,689.40
  4. Step 4: Simplify right side
    607,921.40x = 150,177,315,919.74
  5. Step 5: Solve for x
    x = 150,177,315,919.74/607,921.40
  6. Step 6: Final answer
    x = 247,034.10

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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.