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Finding the Fourth Proportional to 500,712.68, 691,047.86 and 285,803.56

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Solution

The fourth proportional to 500,712.68, 691,047.86 and 285,803.56 is: 394,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,712.68 : 691,047.86 = 285,803.56 : x
  2. Step 2: Convert to fraction form
    500,712.68/691,047.86 = 285,803.56/x
  3. Step 3: Cross multiply
    500,712.68x = 691,047.86 × 285,803.56
  4. Step 4: Simplify right side
    500,712.68x = 197,503,938,518.38
  5. Step 5: Solve for x
    x = 197,503,938,518.38/500,712.68
  6. Step 6: Final answer
    x = 394,445.65

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1.5x scale

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.