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Finding the Fourth Proportional to 285,653.79, 428,564.52 and 127,847.16

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Solution

The fourth proportional to 285,653.79, 428,564.52 and 127,847.16 is: 191,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653.79 : 428,564.52 = 127,847.16 : x
  2. Step 2: Convert to fraction form
    285,653.79/428,564.52 = 127,847.16/x
  3. Step 3: Cross multiply
    285,653.79x = 428,564.52 × 127,847.16
  4. Step 4: Simplify right side
    285,653.79x = 54,790,756,758.76
  5. Step 5: Solve for x
    x = 54,790,756,758.76/285,653.79
  6. Step 6: Final answer
    x = 191,808.26

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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.