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Finding the Fourth Proportional to 498,521.27, 687,920.49 and 294,533.51

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Solution

The fourth proportional to 498,521.27, 687,920.49 and 294,533.51 is: 406,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,521.27 : 687,920.49 = 294,533.51 : x
  2. Step 2: Convert to fraction form
    498,521.27/687,920.49 = 294,533.51/x
  3. Step 3: Cross multiply
    498,521.27x = 687,920.49 × 294,533.51
  4. Step 4: Simplify right side
    498,521.27x = 202,615,633,081.02
  5. Step 5: Solve for x
    x = 202,615,633,081.02/498,521.27
  6. Step 6: Final answer
    x = 406,433.28

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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.