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Finding the Fourth Proportional to 435,718.08, 653,598.56 and 120,168

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Solution

The fourth proportional to 435,718.08, 653,598.56 and 120,168 is: 180,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,718.08 : 653,598.56 = 120,168 : x
  2. Step 2: Convert to fraction form
    435,718.08/653,598.56 = 120,168/x
  3. Step 3: Cross multiply
    435,718.08x = 653,598.56 × 120,168
  4. Step 4: Simplify right side
    435,718.08x = 78,541,631,758.08
  5. Step 5: Solve for x
    x = 78,541,631,758.08/435,718.08
  6. Step 6: Final answer
    x = 180,257.91

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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.