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Finding the Fourth Proportional to 496,595.25, 745,039.76 and 286,384.05

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Solution

The fourth proportional to 496,595.25, 745,039.76 and 286,384.05 is: 429,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,595.25 : 745,039.76 = 286,384.05 : x
  2. Step 2: Convert to fraction form
    496,595.25/745,039.76 = 286,384.05/x
  3. Step 3: Cross multiply
    496,595.25x = 745,039.76 × 286,384.05
  4. Step 4: Simplify right side
    496,595.25x = 213,367,502,447.91
  5. Step 5: Solve for x
    x = 213,367,502,447.91/496,595.25
  6. Step 6: Final answer
    x = 429,660.78

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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.