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Finding the Fourth Proportional to 262,405.60, 393,802.80 and 104,747.20

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Solution

The fourth proportional to 262,405.60, 393,802.80 and 104,747.20 is: 157,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,405.60 : 393,802.80 = 104,747.20 : x
  2. Step 2: Convert to fraction form
    262,405.60/393,802.80 = 104,747.20/x
  3. Step 3: Cross multiply
    262,405.60x = 393,802.80 × 104,747.20
  4. Step 4: Simplify right side
    262,405.60x = 41,249,740,652.16
  5. Step 5: Solve for x
    x = 41,249,740,652.16/262,405.60
  6. Step 6: Final answer
    x = 157,198.40

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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.