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Finding the Fourth Proportional to 514,260.44, 709,019.94 and 399,344.12

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Solution

The fourth proportional to 514,260.44, 709,019.94 and 399,344.12 is: 550,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,260.44 : 709,019.94 = 399,344.12 : x
  2. Step 2: Convert to fraction form
    514,260.44/709,019.94 = 399,344.12/x
  3. Step 3: Cross multiply
    514,260.44x = 709,019.94 × 399,344.12
  4. Step 4: Simplify right side
    514,260.44x = 283,142,944,001.75
  5. Step 5: Solve for x
    x = 283,142,944,001.75/514,260.44
  6. Step 6: Final answer
    x = 550,582.78

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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.