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Finding the Fourth Proportional to 507,105, 699,804.90 and 280,765.08

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Solution

The fourth proportional to 507,105, 699,804.90 and 280,765.08 is: 387,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,105 : 699,804.90 = 280,765.08 : x
  2. Step 2: Convert to fraction form
    507,105/699,804.90 = 280,765.08/x
  3. Step 3: Cross multiply
    507,105x = 699,804.90 × 280,765.08
  4. Step 4: Simplify right side
    507,105x = 196,480,778,732.89
  5. Step 5: Solve for x
    x = 196,480,778,732.89/507,105
  6. Step 6: Final answer
    x = 387,455.81

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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.