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Finding the Fourth Proportional to 514,383.59, 709,874.81 and 310,431.26

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Solution

The fourth proportional to 514,383.59, 709,874.81 and 310,431.26 is: 428,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,383.59 : 709,874.81 = 310,431.26 : x
  2. Step 2: Convert to fraction form
    514,383.59/709,874.81 = 310,431.26/x
  3. Step 3: Cross multiply
    514,383.59x = 709,874.81 × 310,431.26
  4. Step 4: Simplify right side
    514,383.59x = 220,367,331,710.56
  5. Step 5: Solve for x
    x = 220,367,331,710.56/514,383.59
  6. Step 6: Final answer
    x = 428,410.50

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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.