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Finding the Fourth Proportional to 329,032.42, 493,751.67 and 129,317.74

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Solution

The fourth proportional to 329,032.42, 493,751.67 and 129,317.74 is: 194,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032.42 : 493,751.67 = 129,317.74 : x
  2. Step 2: Convert to fraction form
    329,032.42/493,751.67 = 129,317.74/x
  3. Step 3: Cross multiply
    329,032.42x = 493,751.67 × 129,317.74
  4. Step 4: Simplify right side
    329,032.42x = 63,850,850,085.63
  5. Step 5: Solve for x
    x = 63,850,850,085.63/329,032.42
  6. Step 6: Final answer
    x = 194,056.41

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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.