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Finding the Fourth Proportional to 313,874.01, 470,806.95 and 77,218.74

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Solution

The fourth proportional to 313,874.01, 470,806.95 and 77,218.74 is: 115,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,874.01 : 470,806.95 = 77,218.74 : x
  2. Step 2: Convert to fraction form
    313,874.01/470,806.95 = 77,218.74/x
  3. Step 3: Cross multiply
    313,874.01x = 470,806.95 × 77,218.74
  4. Step 4: Simplify right side
    313,874.01x = 36,355,119,462.24
  5. Step 5: Solve for x
    x = 36,355,119,462.24/313,874.01
  6. Step 6: Final answer
    x = 115,827.11

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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.