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Finding the Fourth Proportional to 514,182.24, 709,634.88 and 310,350.24

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Solution

The fourth proportional to 514,182.24, 709,634.88 and 310,350.24 is: 428,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,182.24 : 709,634.88 = 310,350.24 : x
  2. Step 2: Convert to fraction form
    514,182.24/709,634.88 = 310,350.24/x
  3. Step 3: Cross multiply
    514,182.24x = 709,634.88 × 310,350.24
  4. Step 4: Simplify right side
    514,182.24x = 220,235,355,320.37
  5. Step 5: Solve for x
    x = 220,235,355,320.37/514,182.24
  6. Step 6: Final answer
    x = 428,321.59

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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.