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Finding the Fourth Proportional to 447,000.40, 670,435.80 and 131,424.40

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Solution

The fourth proportional to 447,000.40, 670,435.80 and 131,424.40 is: 197,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,000.40 : 670,435.80 = 131,424.40 : x
  2. Step 2: Convert to fraction form
    447,000.40/670,435.80 = 131,424.40/x
  3. Step 3: Cross multiply
    447,000.40x = 670,435.80 × 131,424.40
  4. Step 4: Simplify right side
    447,000.40x = 88,111,622,753.52
  5. Step 5: Solve for x
    x = 88,111,622,753.52/447,000.40
  6. Step 6: Final answer
    x = 197,117.55

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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.