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Finding the Fourth Proportional to 442,709.40, 663,977.70 and 143,117.40

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Solution

The fourth proportional to 442,709.40, 663,977.70 and 143,117.40 is: 214,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,709.40 : 663,977.70 = 143,117.40 : x
  2. Step 2: Convert to fraction form
    442,709.40/663,977.70 = 143,117.40/x
  3. Step 3: Cross multiply
    442,709.40x = 663,977.70 × 143,117.40
  4. Step 4: Simplify right side
    442,709.40x = 95,026,762,081.98
  5. Step 5: Solve for x
    x = 95,026,762,081.98/442,709.40
  6. Step 6: Final answer
    x = 214,648.17

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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.