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Finding the Fourth Proportional to 365,205.60, 547,808.40 and 309,218.40

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Solution

The fourth proportional to 365,205.60, 547,808.40 and 309,218.40 is: 463,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,205.60 : 547,808.40 = 309,218.40 : x
  2. Step 2: Convert to fraction form
    365,205.60/547,808.40 = 309,218.40/x
  3. Step 3: Cross multiply
    365,205.60x = 547,808.40 × 309,218.40
  4. Step 4: Simplify right side
    365,205.60x = 169,392,436,954.56
  5. Step 5: Solve for x
    x = 169,392,436,954.56/365,205.60
  6. Step 6: Final answer
    x = 463,827.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.