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Finding the Fourth Proportional to 260,516.70, 390,904.65 and 102,750.30

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Solution

The fourth proportional to 260,516.70, 390,904.65 and 102,750.30 is: 154,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,516.70 : 390,904.65 = 102,750.30 : x
  2. Step 2: Convert to fraction form
    260,516.70/390,904.65 = 102,750.30/x
  3. Step 3: Cross multiply
    260,516.70x = 390,904.65 × 102,750.30
  4. Step 4: Simplify right side
    260,516.70x = 40,165,570,058.90
  5. Step 5: Solve for x
    x = 40,165,570,058.90/260,516.70
  6. Step 6: Final answer
    x = 154,176.57

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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.