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Finding the Fourth Proportional to 283,119.88, 390,721.56 and 162,281.26

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Solution

The fourth proportional to 283,119.88, 390,721.56 and 162,281.26 is: 223,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,119.88 : 390,721.56 = 162,281.26 : x
  2. Step 2: Convert to fraction form
    283,119.88/390,721.56 = 162,281.26/x
  3. Step 3: Cross multiply
    283,119.88x = 390,721.56 × 162,281.26
  4. Step 4: Simplify right side
    283,119.88x = 63,406,787,065.97
  5. Step 5: Solve for x
    x = 63,406,787,065.97/283,119.88
  6. Step 6: Final answer
    x = 223,957.38

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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.