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Finding the Fourth Proportional to 186,970.40, 280,455.60 and 179,712.80

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Solution

The fourth proportional to 186,970.40, 280,455.60 and 179,712.80 is: 269,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,970.40 : 280,455.60 = 179,712.80 : x
  2. Step 2: Convert to fraction form
    186,970.40/280,455.60 = 179,712.80/x
  3. Step 3: Cross multiply
    186,970.40x = 280,455.60 × 179,712.80
  4. Step 4: Simplify right side
    186,970.40x = 50,401,461,151.68
  5. Step 5: Solve for x
    x = 50,401,461,151.68/186,970.40
  6. Step 6: Final answer
    x = 269,569.20

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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.