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Finding the Fourth Proportional to 272,993.20, 409,295.40 and 104,448.40

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Solution

The fourth proportional to 272,993.20, 409,295.40 and 104,448.40 is: 156,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,993.20 : 409,295.40 = 104,448.40 : x
  2. Step 2: Convert to fraction form
    272,993.20/409,295.40 = 104,448.40/x
  3. Step 3: Cross multiply
    272,993.20x = 409,295.40 × 104,448.40
  4. Step 4: Simplify right side
    272,993.20x = 42,750,249,657.36
  5. Step 5: Solve for x
    x = 42,750,249,657.36/272,993.20
  6. Step 6: Final answer
    x = 156,598.22

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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.