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Finding the Fourth Proportional to 507,471.24, 700,353 and 281,137.80

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Solution

The fourth proportional to 507,471.24, 700,353 and 281,137.80 is: 387,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,471.24 : 700,353 = 281,137.80 : x
  2. Step 2: Convert to fraction form
    507,471.24/700,353 = 281,137.80/x
  3. Step 3: Cross multiply
    507,471.24x = 700,353 × 281,137.80
  4. Step 4: Simplify right side
    507,471.24x = 196,895,701,643.40
  5. Step 5: Solve for x
    x = 196,895,701,643.40/507,471.24
  6. Step 6: Final answer
    x = 387,993.81

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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.