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Finding the Fourth Proportional to 406,938.20, 610,407.30 and 207,872.60

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Solution

The fourth proportional to 406,938.20, 610,407.30 and 207,872.60 is: 311,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,938.20 : 610,407.30 = 207,872.60 : x
  2. Step 2: Convert to fraction form
    406,938.20/610,407.30 = 207,872.60/x
  3. Step 3: Cross multiply
    406,938.20x = 610,407.30 × 207,872.60
  4. Step 4: Simplify right side
    406,938.20x = 126,886,952,509.98
  5. Step 5: Solve for x
    x = 126,886,952,509.98/406,938.20
  6. Step 6: Final answer
    x = 311,808.90

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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.