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Finding the Fourth Proportional to 514,484, 709,988.08 and 288,129.52

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Solution

The fourth proportional to 514,484, 709,988.08 and 288,129.52 is: 397,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,484 : 709,988.08 = 288,129.52 : x
  2. Step 2: Convert to fraction form
    514,484/709,988.08 = 288,129.52/x
  3. Step 3: Cross multiply
    514,484x = 709,988.08 × 288,129.52
  4. Step 4: Simplify right side
    514,484x = 204,568,524,696.12
  5. Step 5: Solve for x
    x = 204,568,524,696.12/514,484
  6. Step 6: Final answer
    x = 397,618.83

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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.