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Finding the Fourth Proportional to 447,780.80, 671,671.20 and 413,566.40

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Solution

The fourth proportional to 447,780.80, 671,671.20 and 413,566.40 is: 620,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,780.80 : 671,671.20 = 413,566.40 : x
  2. Step 2: Convert to fraction form
    447,780.80/671,671.20 = 413,566.40/x
  3. Step 3: Cross multiply
    447,780.80x = 671,671.20 × 413,566.40
  4. Step 4: Simplify right side
    447,780.80x = 277,780,640,167.68
  5. Step 5: Solve for x
    x = 277,780,640,167.68/447,780.80
  6. Step 6: Final answer
    x = 620,349.60

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1.5x scale

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.