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Finding the Fourth Proportional to 347,213.82, 520,862.40 and 122,527.86

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Solution

The fourth proportional to 347,213.82, 520,862.40 and 122,527.86 is: 183,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,213.82 : 520,862.40 = 122,527.86 : x
  2. Step 2: Convert to fraction form
    347,213.82/520,862.40 = 122,527.86/x
  3. Step 3: Cross multiply
    347,213.82x = 520,862.40 × 122,527.86
  4. Step 4: Simplify right side
    347,213.82x = 63,820,155,226.46
  5. Step 5: Solve for x
    x = 63,820,155,226.46/347,213.82
  6. Step 6: Final answer
    x = 183,806.49

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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.