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Finding the Fourth Proportional to 496,587, 745,027.38 and 286,375.80

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Solution

The fourth proportional to 496,587, 745,027.38 and 286,375.80 is: 429,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,587 : 745,027.38 = 286,375.80 : x
  2. Step 2: Convert to fraction form
    496,587/745,027.38 = 286,375.80/x
  3. Step 3: Cross multiply
    496,587x = 745,027.38 × 286,375.80
  4. Step 4: Simplify right side
    496,587x = 213,357,811,969.40
  5. Step 5: Solve for x
    x = 213,357,811,969.40/496,587
  6. Step 6: Final answer
    x = 429,648.40

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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.