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Finding the Fourth Proportional to 313,656.48, 470,246.64 and 161,689.80

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Solution

The fourth proportional to 313,656.48, 470,246.64 and 161,689.80 is: 242,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,656.48 : 470,246.64 = 161,689.80 : x
  2. Step 2: Convert to fraction form
    313,656.48/470,246.64 = 161,689.80/x
  3. Step 3: Cross multiply
    313,656.48x = 470,246.64 × 161,689.80
  4. Step 4: Simplify right side
    313,656.48x = 76,034,085,172.27
  5. Step 5: Solve for x
    x = 76,034,085,172.27/313,656.48
  6. Step 6: Final answer
    x = 242,411.97

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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.