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Finding the Fourth Proportional to 308,101.60, 462,152.40 and 108,420.40

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Solution

The fourth proportional to 308,101.60, 462,152.40 and 108,420.40 is: 162,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,101.60 : 462,152.40 = 108,420.40 : x
  2. Step 2: Convert to fraction form
    308,101.60/462,152.40 = 108,420.40/x
  3. Step 3: Cross multiply
    308,101.60x = 462,152.40 × 108,420.40
  4. Step 4: Simplify right side
    308,101.60x = 50,106,748,068.96
  5. Step 5: Solve for x
    x = 50,106,748,068.96/308,101.60
  6. Step 6: Final answer
    x = 162,630.60

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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.