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Finding the Fourth Proportional to 312,670.98, 469,002.27 and 76,012.98

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Solution

The fourth proportional to 312,670.98, 469,002.27 and 76,012.98 is: 114,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,670.98 : 469,002.27 = 76,012.98 : x
  2. Step 2: Convert to fraction form
    312,670.98/469,002.27 = 76,012.98/x
  3. Step 3: Cross multiply
    312,670.98x = 469,002.27 × 76,012.98
  4. Step 4: Simplify right side
    312,670.98x = 35,650,260,169.46
  5. Step 5: Solve for x
    x = 35,650,260,169.46/312,670.98
  6. Step 6: Final answer
    x = 114,018.45

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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.