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Finding the Fourth Proportional to 497,570.12, 685,951.10 and 420,780.44

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Solution

The fourth proportional to 497,570.12, 685,951.10 and 420,780.44 is: 580,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,570.12 : 685,951.10 = 420,780.44 : x
  2. Step 2: Convert to fraction form
    497,570.12/685,951.10 = 420,780.44/x
  3. Step 3: Cross multiply
    497,570.12x = 685,951.10 × 420,780.44
  4. Step 4: Simplify right side
    497,570.12x = 288,634,806,865.39
  5. Step 5: Solve for x
    x = 288,634,806,865.39/497,570.12
  6. Step 6: Final answer
    x = 580,088.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.