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Finding the Fourth Proportional to 553,255.20, 828,862.20 and 315,892.80

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Solution

The fourth proportional to 553,255.20, 828,862.20 and 315,892.80 is: 473,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,255.20 : 828,862.20 = 315,892.80 : x
  2. Step 2: Convert to fraction form
    553,255.20/828,862.20 = 315,892.80/x
  3. Step 3: Cross multiply
    553,255.20x = 828,862.20 × 315,892.80
  4. Step 4: Simplify right side
    553,255.20x = 261,831,601,172.16
  5. Step 5: Solve for x
    x = 261,831,601,172.16/553,255.20
  6. Step 6: Final answer
    x = 473,256.47

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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.