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Finding the Fourth Proportional to 313,462.16, 470,193.24 and 76,802.79

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Solution

The fourth proportional to 313,462.16, 470,193.24 and 76,802.79 is: 115,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,462.16 : 470,193.24 = 76,802.79 : x
  2. Step 2: Convert to fraction form
    313,462.16/470,193.24 = 76,802.79/x
  3. Step 3: Cross multiply
    313,462.16x = 470,193.24 × 76,802.79
  4. Step 4: Simplify right side
    313,462.16x = 36,112,152,671.14
  5. Step 5: Solve for x
    x = 36,112,152,671.14/313,462.16
  6. Step 6: Final answer
    x = 115,204.19

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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.