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Finding the Fourth Proportional to 437,775.60, 656,153.10 and 201,142.20

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Solution

The fourth proportional to 437,775.60, 656,153.10 and 201,142.20 is: 301,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,775.60 : 656,153.10 = 201,142.20 : x
  2. Step 2: Convert to fraction form
    437,775.60/656,153.10 = 201,142.20/x
  3. Step 3: Cross multiply
    437,775.60x = 656,153.10 × 201,142.20
  4. Step 4: Simplify right side
    437,775.60x = 131,980,078,070.82
  5. Step 5: Solve for x
    x = 131,980,078,070.82/437,775.60
  6. Step 6: Final answer
    x = 301,478.84

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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.