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Finding the Fourth Proportional to 283,140.95, 390,743.80 and 162,305.10

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Solution

The fourth proportional to 283,140.95, 390,743.80 and 162,305.10 is: 223,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,140.95 : 390,743.80 = 162,305.10 : x
  2. Step 2: Convert to fraction form
    283,140.95/390,743.80 = 162,305.10/x
  3. Step 3: Cross multiply
    283,140.95x = 390,743.80 × 162,305.10
  4. Step 4: Simplify right side
    283,140.95x = 63,419,711,127.62
  5. Step 5: Solve for x
    x = 63,419,711,127.62/283,140.95
  6. Step 6: Final answer
    x = 223,986.37

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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.