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Finding the Fourth Proportional to 313,490.24, 470,235.36 and 76,830.86

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Solution

The fourth proportional to 313,490.24, 470,235.36 and 76,830.86 is: 115,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,490.24 : 470,235.36 = 76,830.86 : x
  2. Step 2: Convert to fraction form
    313,490.24/470,235.36 = 76,830.86/x
  3. Step 3: Cross multiply
    313,490.24x = 470,235.36 × 76,830.86
  4. Step 4: Simplify right side
    313,490.24x = 36,128,587,111.21
  5. Step 5: Solve for x
    x = 36,128,587,111.21/313,490.24
  6. Step 6: Final answer
    x = 115,246.29

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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.