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Finding the Fourth Proportional to 401,924.60, 601,850.10 and 318,980.60

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Solution

The fourth proportional to 401,924.60, 601,850.10 and 318,980.60 is: 477,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,924.60 : 601,850.10 = 318,980.60 : x
  2. Step 2: Convert to fraction form
    401,924.60/601,850.10 = 318,980.60/x
  3. Step 3: Cross multiply
    401,924.60x = 601,850.10 × 318,980.60
  4. Step 4: Simplify right side
    401,924.60x = 191,978,506,008.06
  5. Step 5: Solve for x
    x = 191,978,506,008.06/401,924.60
  6. Step 6: Final answer
    x = 477,648.06

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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.