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Finding the Fourth Proportional to 498,210, 687,840.84 and 319,673.04

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Solution

The fourth proportional to 498,210, 687,840.84 and 319,673.04 is: 441,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,210 : 687,840.84 = 319,673.04 : x
  2. Step 2: Convert to fraction form
    498,210/687,840.84 = 319,673.04/x
  3. Step 3: Cross multiply
    498,210x = 687,840.84 × 319,673.04
  4. Step 4: Simplify right side
    498,210x = 219,884,172,358.95
  5. Step 5: Solve for x
    x = 219,884,172,358.95/498,210
  6. Step 6: Final answer
    x = 441,348.37

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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.