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Finding the Fourth Proportional to 314,812.80, 472,219.20 and 202,838.40

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Solution

The fourth proportional to 314,812.80, 472,219.20 and 202,838.40 is: 304,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,812.80 : 472,219.20 = 202,838.40 : x
  2. Step 2: Convert to fraction form
    314,812.80/472,219.20 = 202,838.40/x
  3. Step 3: Cross multiply
    314,812.80x = 472,219.20 × 202,838.40
  4. Step 4: Simplify right side
    314,812.80x = 95,784,186,977.28
  5. Step 5: Solve for x
    x = 95,784,186,977.28/314,812.80
  6. Step 6: Final answer
    x = 304,257.60

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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.