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Finding the Fourth Proportional to 313,950.66, 470,922.12 and 77,295.39

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Solution

The fourth proportional to 313,950.66, 470,922.12 and 77,295.39 is: 115,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,950.66 : 470,922.12 = 77,295.39 : x
  2. Step 2: Convert to fraction form
    313,950.66/470,922.12 = 77,295.39/x
  3. Step 3: Cross multiply
    313,950.66x = 470,922.12 × 77,295.39
  4. Step 4: Simplify right side
    313,950.66x = 36,400,108,925.03
  5. Step 5: Solve for x
    x = 36,400,108,925.03/313,950.66
  6. Step 6: Final answer
    x = 115,942.13

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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.