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Finding the Fourth Proportional to 313,693.86, 470,542.37 and 77,036.62

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Solution

The fourth proportional to 313,693.86, 470,542.37 and 77,036.62 is: 115,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,693.86 : 470,542.37 = 77,036.62 : x
  2. Step 2: Convert to fraction form
    313,693.86/470,542.37 = 77,036.62/x
  3. Step 3: Cross multiply
    313,693.86x = 470,542.37 × 77,036.62
  4. Step 4: Simplify right side
    313,693.86x = 36,248,993,751.59
  5. Step 5: Solve for x
    x = 36,248,993,751.59/313,693.86
  6. Step 6: Final answer
    x = 115,555.32

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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.