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Finding the Fourth Proportional to 435,299.76, 652,818.42 and 154,800

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Solution

The fourth proportional to 435,299.76, 652,818.42 and 154,800 is: 232,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,299.76 : 652,818.42 = 154,800 : x
  2. Step 2: Convert to fraction form
    435,299.76/652,818.42 = 154,800/x
  3. Step 3: Cross multiply
    435,299.76x = 652,818.42 × 154,800
  4. Step 4: Simplify right side
    435,299.76x = 101,056,291,416
  5. Step 5: Solve for x
    x = 101,056,291,416/435,299.76
  6. Step 6: Final answer
    x = 232,153.34

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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.