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Finding the Fourth Proportional to 347,931.74, 480,100.92 and 204,639.50

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Solution

The fourth proportional to 347,931.74, 480,100.92 and 204,639.50 is: 282,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,931.74 : 480,100.92 = 204,639.50 : x
  2. Step 2: Convert to fraction form
    347,931.74/480,100.92 = 204,639.50/x
  3. Step 3: Cross multiply
    347,931.74x = 480,100.92 × 204,639.50
  4. Step 4: Simplify right side
    347,931.74x = 98,247,612,218.34
  5. Step 5: Solve for x
    x = 98,247,612,218.34/347,931.74
  6. Step 6: Final answer
    x = 282,376.11

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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.