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Finding the Fourth Proportional to 260,096.60, 390,201.60 and 147,830.60

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Solution

The fourth proportional to 260,096.60, 390,201.60 and 147,830.60 is: 221,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,096.60 : 390,201.60 = 147,830.60 : x
  2. Step 2: Convert to fraction form
    260,096.60/390,201.60 = 147,830.60/x
  3. Step 3: Cross multiply
    260,096.60x = 390,201.60 × 147,830.60
  4. Step 4: Simplify right side
    260,096.60x = 57,683,736,648.96
  5. Step 5: Solve for x
    x = 57,683,736,648.96/260,096.60
  6. Step 6: Final answer
    x = 221,778.13

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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.