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Finding the Fourth Proportional to 712,065.70, 982,626.19 and 406,241.08

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Solution

The fourth proportional to 712,065.70, 982,626.19 and 406,241.08 is: 560,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,065.70 : 982,626.19 = 406,241.08 : x
  2. Step 2: Convert to fraction form
    712,065.70/982,626.19 = 406,241.08/x
  3. Step 3: Cross multiply
    712,065.70x = 982,626.19 × 406,241.08
  4. Step 4: Simplify right side
    712,065.70x = 399,183,124,661.89
  5. Step 5: Solve for x
    x = 399,183,124,661.89/712,065.70
  6. Step 6: Final answer
    x = 560,598.73

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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.