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Finding the Fourth Proportional to 507,208.56, 699,968.91 and 280,854.06

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Solution

The fourth proportional to 507,208.56, 699,968.91 and 280,854.06 is: 387,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,208.56 : 699,968.91 = 280,854.06 : x
  2. Step 2: Convert to fraction form
    507,208.56/699,968.91 = 280,854.06/x
  3. Step 3: Cross multiply
    507,208.56x = 699,968.91 × 280,854.06
  4. Step 4: Simplify right side
    507,208.56x = 196,589,110,247.28
  5. Step 5: Solve for x
    x = 196,589,110,247.28/507,208.56
  6. Step 6: Final answer
    x = 387,590.28

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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.