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Finding the Fourth Proportional to 447,100.68, 670,733.82 and 147,602.12

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Solution

The fourth proportional to 447,100.68, 670,733.82 and 147,602.12 is: 221,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,100.68 : 670,733.82 = 147,602.12 : x
  2. Step 2: Convert to fraction form
    447,100.68/670,733.82 = 147,602.12/x
  3. Step 3: Cross multiply
    447,100.68x = 670,733.82 × 147,602.12
  4. Step 4: Simplify right side
    447,100.68x = 99,001,733,787.70
  5. Step 5: Solve for x
    x = 99,001,733,787.70/447,100.68
  6. Step 6: Final answer
    x = 221,430.51

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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.