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Finding the Fourth Proportional to 260,297.16, 390,449.16 and 70,766.88

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Solution

The fourth proportional to 260,297.16, 390,449.16 and 70,766.88 is: 106,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,297.16 : 390,449.16 = 70,766.88 : x
  2. Step 2: Convert to fraction form
    260,297.16/390,449.16 = 70,766.88/x
  3. Step 3: Cross multiply
    260,297.16x = 390,449.16 × 70,766.88
  4. Step 4: Simplify right side
    260,297.16x = 27,630,868,851.82
  5. Step 5: Solve for x
    x = 27,630,868,851.82/260,297.16
  6. Step 6: Final answer
    x = 106,151.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.