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Finding the Fourth Proportional to 406,775.05, 610,156.10 and 126,292.57

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Solution

The fourth proportional to 406,775.05, 610,156.10 and 126,292.57 is: 189,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,775.05 : 610,156.10 = 126,292.57 : x
  2. Step 2: Convert to fraction form
    406,775.05/610,156.10 = 126,292.57/x
  3. Step 3: Cross multiply
    406,775.05x = 610,156.10 × 126,292.57
  4. Step 4: Simplify right side
    406,775.05x = 77,058,181,338.71
  5. Step 5: Solve for x
    x = 77,058,181,338.71/406,775.05
  6. Step 6: Final answer
    x = 189,436.84

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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.