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Finding the Fourth Proportional to 282,642.04, 423,040.20 and 207,742.42

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Solution

The fourth proportional to 282,642.04, 423,040.20 and 207,742.42 is: 310,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,642.04 : 423,040.20 = 207,742.42 : x
  2. Step 2: Convert to fraction form
    282,642.04/423,040.20 = 207,742.42/x
  3. Step 3: Cross multiply
    282,642.04x = 423,040.20 × 207,742.42
  4. Step 4: Simplify right side
    282,642.04x = 87,883,394,905.28
  5. Step 5: Solve for x
    x = 87,883,394,905.28/282,642.04
  6. Step 6: Final answer
    x = 310,935.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.