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Finding the Fourth Proportional to 514,488, 709,993.68 and 288,133.56

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Solution

The fourth proportional to 514,488, 709,993.68 and 288,133.56 is: 397,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,488 : 709,993.68 = 288,133.56 : x
  2. Step 2: Convert to fraction form
    514,488/709,993.68 = 288,133.56/x
  3. Step 3: Cross multiply
    514,488x = 709,993.68 × 288,133.56
  4. Step 4: Simplify right side
    514,488x = 204,573,006,595.90
  5. Step 5: Solve for x
    x = 204,573,006,595.90/514,488
  6. Step 6: Final answer
    x = 397,624.45

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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.