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Finding the Fourth Proportional to 712,233.50, 982,879.62 and 406,309.38

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Solution

The fourth proportional to 712,233.50, 982,879.62 and 406,309.38 is: 560,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,233.50 : 982,879.62 = 406,309.38 : x
  2. Step 2: Convert to fraction form
    712,233.50/982,879.62 = 406,309.38/x
  3. Step 3: Cross multiply
    712,233.50x = 982,879.62 × 406,309.38
  4. Step 4: Simplify right side
    712,233.50x = 399,353,209,016.84
  5. Step 5: Solve for x
    x = 399,353,209,016.84/712,233.50
  6. Step 6: Final answer
    x = 560,705.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.