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Finding the Fourth Proportional to 435,564.12, 653,207.88 and 140,007

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Solution

The fourth proportional to 435,564.12, 653,207.88 and 140,007 is: 209,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,564.12 : 653,207.88 = 140,007 : x
  2. Step 2: Convert to fraction form
    435,564.12/653,207.88 = 140,007/x
  3. Step 3: Cross multiply
    435,564.12x = 653,207.88 × 140,007
  4. Step 4: Simplify right side
    435,564.12x = 91,453,675,655.16
  5. Step 5: Solve for x
    x = 91,453,675,655.16/435,564.12
  6. Step 6: Final answer
    x = 209,966.05

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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.