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Finding the Fourth Proportional to 312,211.02, 430,851.16 and 168,971.08

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Solution

The fourth proportional to 312,211.02, 430,851.16 and 168,971.08 is: 233,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,211.02 : 430,851.16 = 168,971.08 : x
  2. Step 2: Convert to fraction form
    312,211.02/430,851.16 = 168,971.08/x
  3. Step 3: Cross multiply
    312,211.02x = 430,851.16 × 168,971.08
  4. Step 4: Simplify right side
    312,211.02x = 72,801,385,824.45
  5. Step 5: Solve for x
    x = 72,801,385,824.45/312,211.02
  6. Step 6: Final answer
    x = 233,180.06

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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.