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Finding the Fourth Proportional to 519,988.32, 716,889.96 and 412,912.80

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Solution

The fourth proportional to 519,988.32, 716,889.96 and 412,912.80 is: 569,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,988.32 : 716,889.96 = 412,912.80 : x
  2. Step 2: Convert to fraction form
    519,988.32/716,889.96 = 412,912.80/x
  3. Step 3: Cross multiply
    519,988.32x = 716,889.96 × 412,912.80
  4. Step 4: Simplify right side
    519,988.32x = 296,013,040,675.49
  5. Step 5: Solve for x
    x = 296,013,040,675.49/519,988.32
  6. Step 6: Final answer
    x = 569,268.63

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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.