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Finding the Fourth Proportional to 495,163.80, 742,745.70 and 229,443.30

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Solution

The fourth proportional to 495,163.80, 742,745.70 and 229,443.30 is: 344,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,163.80 : 742,745.70 = 229,443.30 : x
  2. Step 2: Convert to fraction form
    495,163.80/742,745.70 = 229,443.30/x
  3. Step 3: Cross multiply
    495,163.80x = 742,745.70 × 229,443.30
  4. Step 4: Simplify right side
    495,163.80x = 170,418,024,468.81
  5. Step 5: Solve for x
    x = 170,418,024,468.81/495,163.80
  6. Step 6: Final answer
    x = 344,164.95

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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.