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Finding the Fourth Proportional to 514,043.07, 709,379.34 and 287,688.57

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Solution

The fourth proportional to 514,043.07, 709,379.34 and 287,688.57 is: 397,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,043.07 : 709,379.34 = 287,688.57 : x
  2. Step 2: Convert to fraction form
    514,043.07/709,379.34 = 287,688.57/x
  3. Step 3: Cross multiply
    514,043.07x = 709,379.34 × 287,688.57
  4. Step 4: Simplify right side
    514,043.07x = 204,080,327,912.14
  5. Step 5: Solve for x
    x = 204,080,327,912.14/514,043.07
  6. Step 6: Final answer
    x = 397,010.17

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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.