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Finding the Fourth Proportional to 329,140.40, 493,415.01 and 118,729.13

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Solution

The fourth proportional to 329,140.40, 493,415.01 and 118,729.13 is: 177,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,140.40 : 493,415.01 = 118,729.13 : x
  2. Step 2: Convert to fraction form
    329,140.40/493,415.01 = 118,729.13/x
  3. Step 3: Cross multiply
    329,140.40x = 493,415.01 × 118,729.13
  4. Step 4: Simplify right side
    329,140.40x = 58,582,732,399.17
  5. Step 5: Solve for x
    x = 58,582,732,399.17/329,140.40
  6. Step 6: Final answer
    x = 177,987.06

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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.