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Finding the Fourth Proportional to 260,829.60, 390,952.80 and 111,044.40

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Solution

The fourth proportional to 260,829.60, 390,952.80 and 111,044.40 is: 166,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,829.60 : 390,952.80 = 111,044.40 : x
  2. Step 2: Convert to fraction form
    260,829.60/390,952.80 = 111,044.40/x
  3. Step 3: Cross multiply
    260,829.60x = 390,952.80 × 111,044.40
  4. Step 4: Simplify right side
    260,829.60x = 43,413,119,104.32
  5. Step 5: Solve for x
    x = 43,413,119,104.32/260,829.60
  6. Step 6: Final answer
    x = 166,442.46

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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.