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Finding the Fourth Proportional to 260,697.40, 390,948.90 and 102,893.20

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Solution

The fourth proportional to 260,697.40, 390,948.90 and 102,893.20 is: 154,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,697.40 : 390,948.90 = 102,893.20 : x
  2. Step 2: Convert to fraction form
    260,697.40/390,948.90 = 102,893.20/x
  3. Step 3: Cross multiply
    260,697.40x = 390,948.90 × 102,893.20
  4. Step 4: Simplify right side
    260,697.40x = 40,225,983,357.48
  5. Step 5: Solve for x
    x = 40,225,983,357.48/260,697.40
  6. Step 6: Final answer
    x = 154,301.44

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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.