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Finding the Fourth Proportional to 347,734.40, 479,987.52 and 204,487.52

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Solution

The fourth proportional to 347,734.40, 479,987.52 and 204,487.52 is: 282,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,734.40 : 479,987.52 = 204,487.52 : x
  2. Step 2: Convert to fraction form
    347,734.40/479,987.52 = 204,487.52/x
  3. Step 3: Cross multiply
    347,734.40x = 479,987.52 × 204,487.52
  4. Step 4: Simplify right side
    347,734.40x = 98,151,457,595.75
  5. Step 5: Solve for x
    x = 98,151,457,595.75/347,734.40
  6. Step 6: Final answer
    x = 282,259.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.