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Finding the Fourth Proportional to 313,811.78, 470,774.10 and 114,411.92

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Solution

The fourth proportional to 313,811.78, 470,774.10 and 114,411.92 is: 171,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,811.78 : 470,774.10 = 114,411.92 : x
  2. Step 2: Convert to fraction form
    313,811.78/470,774.10 = 114,411.92/x
  3. Step 3: Cross multiply
    313,811.78x = 470,774.10 × 114,411.92
  4. Step 4: Simplify right side
    313,811.78x = 53,862,168,667.27
  5. Step 5: Solve for x
    x = 53,862,168,667.27/313,811.78
  6. Step 6: Final answer
    x = 171,638.45

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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.