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Finding the Fourth Proportional to 514,218.38, 709,621.36 and 313,014.38

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Solution

The fourth proportional to 514,218.38, 709,621.36 and 313,014.38 is: 431,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,218.38 : 709,621.36 = 313,014.38 : x
  2. Step 2: Convert to fraction form
    514,218.38/709,621.36 = 313,014.38/x
  3. Step 3: Cross multiply
    514,218.38x = 709,621.36 × 313,014.38
  4. Step 4: Simplify right side
    514,218.38x = 222,121,685,704.51
  5. Step 5: Solve for x
    x = 222,121,685,704.51/514,218.38
  6. Step 6: Final answer
    x = 431,959.84

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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.