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Finding the Fourth Proportional to 442,146.40, 661,808.40 and 348,834.40

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Solution

The fourth proportional to 442,146.40, 661,808.40 and 348,834.40 is: 522,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,146.40 : 661,808.40 = 348,834.40 : x
  2. Step 2: Convert to fraction form
    442,146.40/661,808.40 = 348,834.40/x
  3. Step 3: Cross multiply
    442,146.40x = 661,808.40 × 348,834.40
  4. Step 4: Simplify right side
    442,146.40x = 230,861,536,128.96
  5. Step 5: Solve for x
    x = 230,861,536,128.96/442,146.40
  6. Step 6: Final answer
    x = 522,138.22

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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.