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Finding the Fourth Proportional to 508,440.91, 701,977.14 and 315,053.84

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Solution

The fourth proportional to 508,440.91, 701,977.14 and 315,053.84 is: 434,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,440.91 : 701,977.14 = 315,053.84 : x
  2. Step 2: Convert to fraction form
    508,440.91/701,977.14 = 315,053.84/x
  3. Step 3: Cross multiply
    508,440.91x = 701,977.14 × 315,053.84
  4. Step 4: Simplify right side
    508,440.91x = 221,160,595,203.09
  5. Step 5: Solve for x
    x = 221,160,595,203.09/508,440.91
  6. Step 6: Final answer
    x = 434,977.97

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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.