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Finding the Fourth Proportional to 310,145, 428,000.10 and 168,833

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Solution

The fourth proportional to 310,145, 428,000.10 and 168,833 is: 232,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,145 : 428,000.10 = 168,833 : x
  2. Step 2: Convert to fraction form
    310,145/428,000.10 = 168,833/x
  3. Step 3: Cross multiply
    310,145x = 428,000.10 × 168,833
  4. Step 4: Simplify right side
    310,145x = 72,260,540,883.30
  5. Step 5: Solve for x
    x = 72,260,540,883.30/310,145
  6. Step 6: Final answer
    x = 232,989.54

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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.