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Finding the Fourth Proportional to 310,813.39, 428,892.40 and 174,894.38

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Solution

The fourth proportional to 310,813.39, 428,892.40 and 174,894.38 is: 241,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,813.39 : 428,892.40 = 174,894.38 : x
  2. Step 2: Convert to fraction form
    310,813.39/428,892.40 = 174,894.38/x
  3. Step 3: Cross multiply
    310,813.39x = 428,892.40 × 174,894.38
  4. Step 4: Simplify right side
    310,813.39x = 75,010,869,510.24
  5. Step 5: Solve for x
    x = 75,010,869,510.24/310,813.39
  6. Step 6: Final answer
    x = 241,337.32

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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.