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Finding the Fourth Proportional to 514,489, 709,995.06 and 288,134.56

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Solution

The fourth proportional to 514,489, 709,995.06 and 288,134.56 is: 397,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,489 : 709,995.06 = 288,134.56 : x
  2. Step 2: Convert to fraction form
    514,489/709,995.06 = 288,134.56/x
  3. Step 3: Cross multiply
    514,489x = 709,995.06 × 288,134.56
  4. Step 4: Simplify right side
    514,489x = 204,574,114,215.27
  5. Step 5: Solve for x
    x = 204,574,114,215.27/514,489
  6. Step 6: Final answer
    x = 397,625.83

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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.