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Finding the Fourth Proportional to 514,378.08, 709,727.04 and 310,462.56

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Solution

The fourth proportional to 514,378.08, 709,727.04 and 310,462.56 is: 428,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,378.08 : 709,727.04 = 310,462.56 : x
  2. Step 2: Convert to fraction form
    514,378.08/709,727.04 = 310,462.56/x
  3. Step 3: Cross multiply
    514,378.08x = 709,727.04 × 310,462.56
  4. Step 4: Simplify right side
    514,378.08x = 220,343,673,739.62
  5. Step 5: Solve for x
    x = 220,343,673,739.62/514,378.08
  6. Step 6: Final answer
    x = 428,369.10

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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.