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Finding the Fourth Proportional to 347,364.77, 520,774.95 and 137,160.05

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Solution

The fourth proportional to 347,364.77, 520,774.95 and 137,160.05 is: 205,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,364.77 : 520,774.95 = 137,160.05 : x
  2. Step 2: Convert to fraction form
    347,364.77/520,774.95 = 137,160.05/x
  3. Step 3: Cross multiply
    347,364.77x = 520,774.95 × 137,160.05
  4. Step 4: Simplify right side
    347,364.77x = 71,429,518,180.75
  5. Step 5: Solve for x
    x = 71,429,518,180.75/347,364.77
  6. Step 6: Final answer
    x = 205,632.59

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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.