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Finding the Fourth Proportional to 522,721.82, 783,989.04 and 138,473.22

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Solution

The fourth proportional to 522,721.82, 783,989.04 and 138,473.22 is: 207,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,721.82 : 783,989.04 = 138,473.22 : x
  2. Step 2: Convert to fraction form
    522,721.82/783,989.04 = 138,473.22/x
  3. Step 3: Cross multiply
    522,721.82x = 783,989.04 × 138,473.22
  4. Step 4: Simplify right side
    522,721.82x = 108,561,486,813.51
  5. Step 5: Solve for x
    x = 108,561,486,813.51/522,721.82
  6. Step 6: Final answer
    x = 207,685.01

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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.