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Finding the Fourth Proportional to 712,674, 983,505.96 and 406,744.26

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Solution

The fourth proportional to 712,674, 983,505.96 and 406,744.26 is: 561,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,674 : 983,505.96 = 406,744.26 : x
  2. Step 2: Convert to fraction form
    712,674/983,505.96 = 406,744.26/x
  3. Step 3: Cross multiply
    712,674x = 983,505.96 × 406,744.26
  4. Step 4: Simplify right side
    712,674x = 400,035,403,905.79
  5. Step 5: Solve for x
    x = 400,035,403,905.79/712,674
  6. Step 6: Final answer
    x = 561,316.12

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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.