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Finding the Fourth Proportional to 498,240.40, 687,551.94 and 294,357

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Solution

The fourth proportional to 498,240.40, 687,551.94 and 294,357 is: 406,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,240.40 : 687,551.94 = 294,357 : x
  2. Step 2: Convert to fraction form
    498,240.40/687,551.94 = 294,357/x
  3. Step 3: Cross multiply
    498,240.40x = 687,551.94 × 294,357
  4. Step 4: Simplify right side
    498,240.40x = 202,385,726,402.58
  5. Step 5: Solve for x
    x = 202,385,726,402.58/498,240.40
  6. Step 6: Final answer
    x = 406,200.96

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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.