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Finding the Fourth Proportional to 283,281.88, 390,995.49 and 162,421

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Solution

The fourth proportional to 283,281.88, 390,995.49 and 162,421 is: 224,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,281.88 : 390,995.49 = 162,421 : x
  2. Step 2: Convert to fraction form
    283,281.88/390,995.49 = 162,421/x
  3. Step 3: Cross multiply
    283,281.88x = 390,995.49 × 162,421
  4. Step 4: Simplify right side
    283,281.88x = 63,505,878,481.29
  5. Step 5: Solve for x
    x = 63,505,878,481.29/283,281.88
  6. Step 6: Final answer
    x = 224,179.11

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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.