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Finding the Fourth Proportional to 514,134.82, 709,286.16 and 310,069.72

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Solution

The fourth proportional to 514,134.82, 709,286.16 and 310,069.72 is: 427,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,134.82 : 709,286.16 = 310,069.72 : x
  2. Step 2: Convert to fraction form
    514,134.82/709,286.16 = 310,069.72/x
  3. Step 3: Cross multiply
    514,134.82x = 709,286.16 × 310,069.72
  4. Step 4: Simplify right side
    514,134.82x = 219,928,161,031.08
  5. Step 5: Solve for x
    x = 219,928,161,031.08/514,134.82
  6. Step 6: Final answer
    x = 427,763.60

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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.