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Finding the Fourth Proportional to 507,982.65, 701,024.12 and 278,560.81

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Solution

The fourth proportional to 507,982.65, 701,024.12 and 278,560.81 is: 384,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,982.65 : 701,024.12 = 278,560.81 : x
  2. Step 2: Convert to fraction form
    507,982.65/701,024.12 = 278,560.81/x
  3. Step 3: Cross multiply
    507,982.65x = 701,024.12 × 278,560.81
  4. Step 4: Simplify right side
    507,982.65x = 195,277,846,696.74
  5. Step 5: Solve for x
    x = 195,277,846,696.74/507,982.65
  6. Step 6: Final answer
    x = 384,418.34

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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.