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Finding the Fourth Proportional to 447,276.80, 670,720.80 and 147,641.60

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Solution

The fourth proportional to 447,276.80, 670,720.80 and 147,641.60 is: 221,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,276.80 : 670,720.80 = 147,641.60 : x
  2. Step 2: Convert to fraction form
    447,276.80/670,720.80 = 147,641.60/x
  3. Step 3: Cross multiply
    447,276.80x = 670,720.80 × 147,641.60
  4. Step 4: Simplify right side
    447,276.80x = 99,026,292,065.28
  5. Step 5: Solve for x
    x = 99,026,292,065.28/447,276.80
  6. Step 6: Final answer
    x = 221,398.23

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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.