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Finding the Fourth Proportional to 260,524.32, 390,582.34 and 102,870.78

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Solution

The fourth proportional to 260,524.32, 390,582.34 and 102,870.78 is: 154,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,524.32 : 390,582.34 = 102,870.78 : x
  2. Step 2: Convert to fraction form
    260,524.32/390,582.34 = 102,870.78/x
  3. Step 3: Cross multiply
    260,524.32x = 390,582.34 × 102,870.78
  4. Step 4: Simplify right side
    260,524.32x = 40,179,509,455.67
  5. Step 5: Solve for x
    x = 40,179,509,455.67/260,524.32
  6. Step 6: Final answer
    x = 154,225.56

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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.