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Finding the Fourth Proportional to 507,117.23, 699,868.73 and 280,762.73

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Solution

The fourth proportional to 507,117.23, 699,868.73 and 280,762.73 is: 387,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,117.23 : 699,868.73 = 280,762.73 : x
  2. Step 2: Convert to fraction form
    507,117.23/699,868.73 = 280,762.73/x
  3. Step 3: Cross multiply
    507,117.23x = 699,868.73 × 280,762.73
  4. Step 4: Simplify right side
    507,117.23x = 196,497,055,276.43
  5. Step 5: Solve for x
    x = 196,497,055,276.43/507,117.23
  6. Step 6: Final answer
    x = 387,478.56

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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.