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Finding the Fourth Proportional to 260,578.68, 390,925.42 and 148,311.76

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Solution

The fourth proportional to 260,578.68, 390,925.42 and 148,311.76 is: 222,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,578.68 : 390,925.42 = 148,311.76 : x
  2. Step 2: Convert to fraction form
    260,578.68/390,925.42 = 148,311.76/x
  3. Step 3: Cross multiply
    260,578.68x = 390,925.42 × 148,311.76
  4. Step 4: Simplify right side
    260,578.68x = 57,978,837,068.94
  5. Step 5: Solve for x
    x = 57,978,837,068.94/260,578.68
  6. Step 6: Final answer
    x = 222,500.31

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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.