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Finding the Fourth Proportional to 496,588.50, 745,029.63 and 286,377.30

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Solution

The fourth proportional to 496,588.50, 745,029.63 and 286,377.30 is: 429,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,588.50 : 745,029.63 = 286,377.30 : x
  2. Step 2: Convert to fraction form
    496,588.50/745,029.63 = 286,377.30/x
  3. Step 3: Cross multiply
    496,588.50x = 745,029.63 × 286,377.30
  4. Step 4: Simplify right side
    496,588.50x = 213,359,573,859.40
  5. Step 5: Solve for x
    x = 213,359,573,859.40/496,588.50
  6. Step 6: Final answer
    x = 429,650.65

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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.