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Finding the Fourth Proportional to 354,309.60, 531,464.40 and 144,098.40

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Solution

The fourth proportional to 354,309.60, 531,464.40 and 144,098.40 is: 216,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,309.60 : 531,464.40 = 144,098.40 : x
  2. Step 2: Convert to fraction form
    354,309.60/531,464.40 = 144,098.40/x
  3. Step 3: Cross multiply
    354,309.60x = 531,464.40 × 144,098.40
  4. Step 4: Simplify right side
    354,309.60x = 76,583,169,696.96
  5. Step 5: Solve for x
    x = 76,583,169,696.96/354,309.60
  6. Step 6: Final answer
    x = 216,147.60

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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.