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Finding the Fourth Proportional to 522,719.82, 783,986.04 and 138,471.21

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Solution

The fourth proportional to 522,719.82, 783,986.04 and 138,471.21 is: 207,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,719.82 : 783,986.04 = 138,471.21 : x
  2. Step 2: Convert to fraction form
    522,719.82/783,986.04 = 138,471.21/x
  3. Step 3: Cross multiply
    522,719.82x = 783,986.04 × 138,471.21
  4. Step 4: Simplify right side
    522,719.82x = 108,559,495,581.91
  5. Step 5: Solve for x
    x = 108,559,495,581.91/522,719.82
  6. Step 6: Final answer
    x = 207,682.00

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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.