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Finding the Fourth Proportional to 309,035.60, 463,553.40 and 238,965.20

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Solution

The fourth proportional to 309,035.60, 463,553.40 and 238,965.20 is: 358,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,035.60 : 463,553.40 = 238,965.20 : x
  2. Step 2: Convert to fraction form
    309,035.60/463,553.40 = 238,965.20/x
  3. Step 3: Cross multiply
    309,035.60x = 463,553.40 × 238,965.20
  4. Step 4: Simplify right side
    309,035.60x = 110,773,130,941.68
  5. Step 5: Solve for x
    x = 110,773,130,941.68/309,035.60
  6. Step 6: Final answer
    x = 358,447.80

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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.