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Finding the Fourth Proportional to 442,950.40, 664,339.20 and 143,358.40

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Solution

The fourth proportional to 442,950.40, 664,339.20 and 143,358.40 is: 215,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,950.40 : 664,339.20 = 143,358.40 : x
  2. Step 2: Convert to fraction form
    442,950.40/664,339.20 = 143,358.40/x
  3. Step 3: Cross multiply
    442,950.40x = 664,339.20 × 143,358.40
  4. Step 4: Simplify right side
    442,950.40x = 95,238,604,769.28
  5. Step 5: Solve for x
    x = 95,238,604,769.28/442,950.40
  6. Step 6: Final answer
    x = 215,009.64

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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.