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Finding the Fourth Proportional to 312,524.40, 470,116.92 and 283,294.72

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Solution

The fourth proportional to 312,524.40, 470,116.92 and 283,294.72 is: 426,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,524.40 : 470,116.92 = 283,294.72 : x
  2. Step 2: Convert to fraction form
    312,524.40/470,116.92 = 283,294.72/x
  3. Step 3: Cross multiply
    312,524.40x = 470,116.92 × 283,294.72
  4. Step 4: Simplify right side
    312,524.40x = 133,181,641,218.66
  5. Step 5: Solve for x
    x = 133,181,641,218.66/312,524.40
  6. Step 6: Final answer
    x = 426,147.98

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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.