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Finding the Fourth Proportional to 314,548.84, 471,897.78 and 137,087.56

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Solution

The fourth proportional to 314,548.84, 471,897.78 and 137,087.56 is: 205,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,548.84 : 471,897.78 = 137,087.56 : x
  2. Step 2: Convert to fraction form
    314,548.84/471,897.78 = 137,087.56/x
  3. Step 3: Cross multiply
    314,548.84x = 471,897.78 × 137,087.56
  4. Step 4: Simplify right side
    314,548.84x = 64,691,315,229.62
  5. Step 5: Solve for x
    x = 64,691,315,229.62/314,548.84
  6. Step 6: Final answer
    x = 205,663.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.