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Finding the Fourth Proportional to 312,703.50, 469,048.68 and 76,047.42

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Solution

The fourth proportional to 312,703.50, 469,048.68 and 76,047.42 is: 114,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,703.50 : 469,048.68 = 76,047.42 : x
  2. Step 2: Convert to fraction form
    312,703.50/469,048.68 = 76,047.42/x
  3. Step 3: Cross multiply
    312,703.50x = 469,048.68 × 76,047.42
  4. Step 4: Simplify right side
    312,703.50x = 35,669,941,968.41
  5. Step 5: Solve for x
    x = 35,669,941,968.41/312,703.50
  6. Step 6: Final answer
    x = 114,069.53

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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.