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Finding the Fourth Proportional to 310,606.07, 428,631.64 and 174,640.15

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Solution

The fourth proportional to 310,606.07, 428,631.64 and 174,640.15 is: 241,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,606.07 : 428,631.64 = 174,640.15 : x
  2. Step 2: Convert to fraction form
    310,606.07/428,631.64 = 174,640.15/x
  3. Step 3: Cross multiply
    310,606.07x = 428,631.64 × 174,640.15
  4. Step 4: Simplify right side
    310,606.07x = 74,856,292,396.17
  5. Step 5: Solve for x
    x = 74,856,292,396.17/310,606.07
  6. Step 6: Final answer
    x = 241,000.74

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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.