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Finding the Fourth Proportional to 513,498.18, 770,429.70 and 229,162.80

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Solution

The fourth proportional to 513,498.18, 770,429.70 and 229,162.80 is: 343,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,498.18 : 770,429.70 = 229,162.80 : x
  2. Step 2: Convert to fraction form
    513,498.18/770,429.70 = 229,162.80/x
  3. Step 3: Cross multiply
    513,498.18x = 770,429.70 × 229,162.80
  4. Step 4: Simplify right side
    513,498.18x = 176,553,827,255.16
  5. Step 5: Solve for x
    x = 176,553,827,255.16/513,498.18
  6. Step 6: Final answer
    x = 343,825.61

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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.