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Finding the Fourth Proportional to 313,467.80, 432,717.98 and 211,631.20

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Solution

The fourth proportional to 313,467.80, 432,717.98 and 211,631.20 is: 292,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,467.80 : 432,717.98 = 211,631.20 : x
  2. Step 2: Convert to fraction form
    313,467.80/432,717.98 = 211,631.20/x
  3. Step 3: Cross multiply
    313,467.80x = 432,717.98 × 211,631.20
  4. Step 4: Simplify right side
    313,467.80x = 91,576,625,445.36
  5. Step 5: Solve for x
    x = 91,576,625,445.36/313,467.80
  6. Step 6: Final answer
    x = 292,140.45

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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.