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Finding the Fourth Proportional to 497,408.40, 746,890.20 and 287,456.40

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Solution

The fourth proportional to 497,408.40, 746,890.20 and 287,456.40 is: 431,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,408.40 : 746,890.20 = 287,456.40 : x
  2. Step 2: Convert to fraction form
    497,408.40/746,890.20 = 287,456.40/x
  3. Step 3: Cross multiply
    497,408.40x = 746,890.20 × 287,456.40
  4. Step 4: Simplify right side
    497,408.40x = 214,698,368,087.28
  5. Step 5: Solve for x
    x = 214,698,368,087.28/497,408.40
  6. Step 6: Final answer
    x = 431,633.98

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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.