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Finding the Fourth Proportional to 289,980.90, 400,172.78 and 160,938.81

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Solution

The fourth proportional to 289,980.90, 400,172.78 and 160,938.81 is: 222,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,980.90 : 400,172.78 = 160,938.81 : x
  2. Step 2: Convert to fraction form
    289,980.90/400,172.78 = 160,938.81/x
  3. Step 3: Cross multiply
    289,980.90x = 400,172.78 × 160,938.81
  4. Step 4: Simplify right side
    289,980.90x = 64,403,330,504.66
  5. Step 5: Solve for x
    x = 64,403,330,504.66/289,980.90
  6. Step 6: Final answer
    x = 222,095.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.