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Finding the Fourth Proportional to 260,324.66, 390,041.22 and 142,078.98

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Solution

The fourth proportional to 260,324.66, 390,041.22 and 142,078.98 is: 212,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,324.66 : 390,041.22 = 142,078.98 : x
  2. Step 2: Convert to fraction form
    260,324.66/390,041.22 = 142,078.98/x
  3. Step 3: Cross multiply
    260,324.66x = 390,041.22 × 142,078.98
  4. Step 4: Simplify right side
    260,324.66x = 55,416,658,695.56
  5. Step 5: Solve for x
    x = 55,416,658,695.56/260,324.66
  6. Step 6: Final answer
    x = 212,875.18

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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.