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Finding the Fourth Proportional to 507,790.24, 700,751.10 and 281,435.92

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Solution

The fourth proportional to 507,790.24, 700,751.10 and 281,435.92 is: 388,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,790.24 : 700,751.10 = 281,435.92 : x
  2. Step 2: Convert to fraction form
    507,790.24/700,751.10 = 281,435.92/x
  3. Step 3: Cross multiply
    507,790.24x = 700,751.10 × 281,435.92
  4. Step 4: Simplify right side
    507,790.24x = 197,216,530,519.51
  5. Step 5: Solve for x
    x = 197,216,530,519.51/507,790.24
  6. Step 6: Final answer
    x = 388,381.88

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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.