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Finding the Fourth Proportional to 285,609.74, 428,671.58 and 152,603.69

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Solution

The fourth proportional to 285,609.74, 428,671.58 and 152,603.69 is: 229,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,609.74 : 428,671.58 = 152,603.69 : x
  2. Step 2: Convert to fraction form
    285,609.74/428,671.58 = 152,603.69/x
  3. Step 3: Cross multiply
    285,609.74x = 428,671.58 × 152,603.69
  4. Step 4: Simplify right side
    285,609.74x = 65,416,861,999.75
  5. Step 5: Solve for x
    x = 65,416,861,999.75/285,609.74
  6. Step 6: Final answer
    x = 229,042.83

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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.