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Finding the Fourth Proportional to 435,215.88, 652,820.70 and 306,602.88

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Solution

The fourth proportional to 435,215.88, 652,820.70 and 306,602.88 is: 459,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,215.88 : 652,820.70 = 306,602.88 : x
  2. Step 2: Convert to fraction form
    435,215.88/652,820.70 = 306,602.88/x
  3. Step 3: Cross multiply
    435,215.88x = 652,820.70 × 306,602.88
  4. Step 4: Simplify right side
    435,215.88x = 200,156,706,743.62
  5. Step 5: Solve for x
    x = 200,156,706,743.62/435,215.88
  6. Step 6: Final answer
    x = 459,902.12

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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.