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Finding the Fourth Proportional to 442,706.40, 663,973.20 and 143,114.40

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Solution

The fourth proportional to 442,706.40, 663,973.20 and 143,114.40 is: 214,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,706.40 : 663,973.20 = 143,114.40 : x
  2. Step 2: Convert to fraction form
    442,706.40/663,973.20 = 143,114.40/x
  3. Step 3: Cross multiply
    442,706.40x = 663,973.20 × 143,114.40
  4. Step 4: Simplify right side
    442,706.40x = 95,024,126,134.08
  5. Step 5: Solve for x
    x = 95,024,126,134.08/442,706.40
  6. Step 6: Final answer
    x = 214,643.67

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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.