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Finding the Fourth Proportional to 398,218.98, 597,415.91 and 292,718.10

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Solution

The fourth proportional to 398,218.98, 597,415.91 and 292,718.10 is: 439,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,218.98 : 597,415.91 = 292,718.10 : x
  2. Step 2: Convert to fraction form
    398,218.98/597,415.91 = 292,718.10/x
  3. Step 3: Cross multiply
    398,218.98x = 597,415.91 × 292,718.10
  4. Step 4: Simplify right side
    398,218.98x = 174,874,450,861.69
  5. Step 5: Solve for x
    x = 174,874,450,861.69/398,218.98
  6. Step 6: Final answer
    x = 439,141.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.