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Finding the Fourth Proportional to 523,935.60, 785,442.60 and 313,657.20

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Solution

The fourth proportional to 523,935.60, 785,442.60 and 313,657.20 is: 470,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,935.60 : 785,442.60 = 313,657.20 : x
  2. Step 2: Convert to fraction form
    523,935.60/785,442.60 = 313,657.20/x
  3. Step 3: Cross multiply
    523,935.60x = 785,442.60 × 313,657.20
  4. Step 4: Simplify right side
    523,935.60x = 246,359,726,676.72
  5. Step 5: Solve for x
    x = 246,359,726,676.72/523,935.60
  6. Step 6: Final answer
    x = 470,209.94

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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.