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Finding the Fourth Proportional to 441,643.60, 662,465.40 and 109,219.60

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Solution

The fourth proportional to 441,643.60, 662,465.40 and 109,219.60 is: 163,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,643.60 : 662,465.40 = 109,219.60 : x
  2. Step 2: Convert to fraction form
    441,643.60/662,465.40 = 109,219.60/x
  3. Step 3: Cross multiply
    441,643.60x = 662,465.40 × 109,219.60
  4. Step 4: Simplify right side
    441,643.60x = 72,354,206,001.84
  5. Step 5: Solve for x
    x = 72,354,206,001.84/441,643.60
  6. Step 6: Final answer
    x = 163,829.40

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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.