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Finding the Fourth Proportional to 285,715.06, 428,656.23 and 127,908.34

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Solution

The fourth proportional to 285,715.06, 428,656.23 and 127,908.34 is: 191,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,715.06 : 428,656.23 = 127,908.34 : x
  2. Step 2: Convert to fraction form
    285,715.06/428,656.23 = 127,908.34/x
  3. Step 3: Cross multiply
    285,715.06x = 428,656.23 × 127,908.34
  4. Step 4: Simplify right side
    285,715.06x = 54,828,706,809.96
  5. Step 5: Solve for x
    x = 54,828,706,809.96/285,715.06
  6. Step 6: Final answer
    x = 191,899.95

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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.