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Finding the Fourth Proportional to 442,145.40, 661,806.90 and 348,833.40

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Solution

The fourth proportional to 442,145.40, 661,806.90 and 348,833.40 is: 522,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,145.40 : 661,806.90 = 348,833.40 : x
  2. Step 2: Convert to fraction form
    442,145.40/661,806.90 = 348,833.40/x
  3. Step 3: Cross multiply
    442,145.40x = 661,806.90 × 348,833.40
  4. Step 4: Simplify right side
    442,145.40x = 230,860,351,070.46
  5. Step 5: Solve for x
    x = 230,860,351,070.46/442,145.40
  6. Step 6: Final answer
    x = 522,136.72

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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.