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Finding the Fourth Proportional to 310,830.56, 428,905.84 and 174,859.92

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Solution

The fourth proportional to 310,830.56, 428,905.84 and 174,859.92 is: 241,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,830.56 : 428,905.84 = 174,859.92 : x
  2. Step 2: Convert to fraction form
    310,830.56/428,905.84 = 174,859.92/x
  3. Step 3: Cross multiply
    310,830.56x = 428,905.84 × 174,859.92
  4. Step 4: Simplify right side
    310,830.56x = 74,998,440,869.93
  5. Step 5: Solve for x
    x = 74,998,440,869.93/310,830.56
  6. Step 6: Final answer
    x = 241,284.00

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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.