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Finding the Fourth Proportional to 523,938.60, 785,447.10 and 313,660.20

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Solution

The fourth proportional to 523,938.60, 785,447.10 and 313,660.20 is: 470,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,938.60 : 785,447.10 = 313,660.20 : x
  2. Step 2: Convert to fraction form
    523,938.60/785,447.10 = 313,660.20/x
  3. Step 3: Cross multiply
    523,938.60x = 785,447.10 × 313,660.20
  4. Step 4: Simplify right side
    523,938.60x = 246,363,494,475.42
  5. Step 5: Solve for x
    x = 246,363,494,475.42/523,938.60
  6. Step 6: Final answer
    x = 470,214.44

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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.