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Finding the Fourth Proportional to 656,857.60, 985,723.80 and 301,688.80

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Solution

The fourth proportional to 656,857.60, 985,723.80 and 301,688.80 is: 452,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,857.60 : 985,723.80 = 301,688.80 : x
  2. Step 2: Convert to fraction form
    656,857.60/985,723.80 = 301,688.80/x
  3. Step 3: Cross multiply
    656,857.60x = 985,723.80 × 301,688.80
  4. Step 4: Simplify right side
    656,857.60x = 297,381,830,353.44
  5. Step 5: Solve for x
    x = 297,381,830,353.44/656,857.60
  6. Step 6: Final answer
    x = 452,734.09

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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.