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Finding the Fourth Proportional to 310,817.79, 428,927.91 and 174,851.84

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Solution

The fourth proportional to 310,817.79, 428,927.91 and 174,851.84 is: 241,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,817.79 : 428,927.91 = 174,851.84 : x
  2. Step 2: Convert to fraction form
    310,817.79/428,927.91 = 174,851.84/x
  3. Step 3: Cross multiply
    310,817.79x = 428,927.91 × 174,851.84
  4. Step 4: Simplify right side
    310,817.79x = 74,998,832,146.21
  5. Step 5: Solve for x
    x = 74,998,832,146.21/310,817.79
  6. Step 6: Final answer
    x = 241,295.17

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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.