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Finding the Fourth Proportional to 308,829.60, 463,244.40 and 109,148.40

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Solution

The fourth proportional to 308,829.60, 463,244.40 and 109,148.40 is: 163,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,829.60 : 463,244.40 = 109,148.40 : x
  2. Step 2: Convert to fraction form
    308,829.60/463,244.40 = 109,148.40/x
  3. Step 3: Cross multiply
    308,829.60x = 463,244.40 × 109,148.40
  4. Step 4: Simplify right side
    308,829.60x = 50,562,385,068.96
  5. Step 5: Solve for x
    x = 50,562,385,068.96/308,829.60
  6. Step 6: Final answer
    x = 163,722.60

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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.