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Finding the Fourth Proportional to 435,377, 653,065.50 and 154,895.06

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Solution

The fourth proportional to 435,377, 653,065.50 and 154,895.06 is: 232,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,377 : 653,065.50 = 154,895.06 : x
  2. Step 2: Convert to fraction form
    435,377/653,065.50 = 154,895.06/x
  3. Step 3: Cross multiply
    435,377x = 653,065.50 × 154,895.06
  4. Step 4: Simplify right side
    435,377x = 101,156,619,806.43
  5. Step 5: Solve for x
    x = 101,156,619,806.43/435,377
  6. Step 6: Final answer
    x = 232,342.59

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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.