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Finding the Fourth Proportional to 285,658.15, 428,352.93 and 105,619.18

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Solution

The fourth proportional to 285,658.15, 428,352.93 and 105,619.18 is: 158,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,658.15 : 428,352.93 = 105,619.18 : x
  2. Step 2: Convert to fraction form
    285,658.15/428,352.93 = 105,619.18/x
  3. Step 3: Cross multiply
    285,658.15x = 428,352.93 × 105,619.18
  4. Step 4: Simplify right side
    285,658.15x = 45,242,286,008.79
  5. Step 5: Solve for x
    x = 45,242,286,008.79/285,658.15
  6. Step 6: Final answer
    x = 158,379.12

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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.