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Finding the Fourth Proportional to 310,638.16, 465,661.95 and 198,002.17

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Solution

The fourth proportional to 310,638.16, 465,661.95 and 198,002.17 is: 296,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,638.16 : 465,661.95 = 198,002.17 : x
  2. Step 2: Convert to fraction form
    310,638.16/465,661.95 = 198,002.17/x
  3. Step 3: Cross multiply
    310,638.16x = 465,661.95 × 198,002.17
  4. Step 4: Simplify right side
    310,638.16x = 92,202,076,586.43
  5. Step 5: Solve for x
    x = 92,202,076,586.43/310,638.16
  6. Step 6: Final answer
    x = 296,815.04

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1.5x scale

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.