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Finding the Fourth Proportional to 313,368.30, 470,051.37 and 76,707.90

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Solution

The fourth proportional to 313,368.30, 470,051.37 and 76,707.90 is: 115,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,368.30 : 470,051.37 = 76,707.90 : x
  2. Step 2: Convert to fraction form
    313,368.30/470,051.37 = 76,707.90/x
  3. Step 3: Cross multiply
    313,368.30x = 470,051.37 × 76,707.90
  4. Step 4: Simplify right side
    313,368.30x = 36,056,653,484.82
  5. Step 5: Solve for x
    x = 36,056,653,484.82/313,368.30
  6. Step 6: Final answer
    x = 115,061.59

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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.