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Finding the Fourth Proportional to 285,572.50, 428,355.67 and 117,055.27

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Solution

The fourth proportional to 285,572.50, 428,355.67 and 117,055.27 is: 175,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,572.50 : 428,355.67 = 117,055.27 : x
  2. Step 2: Convert to fraction form
    285,572.50/428,355.67 = 117,055.27/x
  3. Step 3: Cross multiply
    285,572.50x = 428,355.67 × 117,055.27
  4. Step 4: Simplify right side
    285,572.50x = 50,141,286,758.74
  5. Step 5: Solve for x
    x = 50,141,286,758.74/285,572.50
  6. Step 6: Final answer
    x = 175,581.64

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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.