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Finding the Fourth Proportional to 347,109.96, 520,666.25 and 122,347.71

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Solution

The fourth proportional to 347,109.96, 520,666.25 and 122,347.71 is: 183,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,109.96 : 520,666.25 = 122,347.71 : x
  2. Step 2: Convert to fraction form
    347,109.96/520,666.25 = 122,347.71/x
  3. Step 3: Cross multiply
    347,109.96x = 520,666.25 × 122,347.71
  4. Step 4: Simplify right side
    347,109.96x = 63,702,322,750.05
  5. Step 5: Solve for x
    x = 63,702,322,750.05/347,109.96
  6. Step 6: Final answer
    x = 183,522.02

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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.