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Finding the Fourth Proportional to 516,072, 712,179.36 and 289,717.50

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Solution

The fourth proportional to 516,072, 712,179.36 and 289,717.50 is: 399,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,072 : 712,179.36 = 289,717.50 : x
  2. Step 2: Convert to fraction form
    516,072/712,179.36 = 289,717.50/x
  3. Step 3: Cross multiply
    516,072x = 712,179.36 × 289,717.50
  4. Step 4: Simplify right side
    516,072x = 206,330,823,730.80
  5. Step 5: Solve for x
    x = 206,330,823,730.80/516,072
  6. Step 6: Final answer
    x = 399,810.15

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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.