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Finding the Fourth Proportional to 522,806.40, 783,172.80 and 311,817.60

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Solution

The fourth proportional to 522,806.40, 783,172.80 and 311,817.60 is: 467,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,806.40 : 783,172.80 = 311,817.60 : x
  2. Step 2: Convert to fraction form
    522,806.40/783,172.80 = 311,817.60/x
  3. Step 3: Cross multiply
    522,806.40x = 783,172.80 × 311,817.60
  4. Step 4: Simplify right side
    522,806.40x = 244,207,062,881.28
  5. Step 5: Solve for x
    x = 244,207,062,881.28/522,806.40
  6. Step 6: Final answer
    x = 467,108.02

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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.