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Finding the Fourth Proportional to 308,988,548.80, 463,781,421.60 and 188,056,196.80

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Solution

The fourth proportional to 308,988,548.80, 463,781,421.60 and 188,056,196.80 is: 282,266,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,988,548.80 : 463,781,421.60 = 188,056,196.80 : x
  2. Step 2: Convert to fraction form
    308,988,548.80/463,781,421.60 = 188,056,196.80/x
  3. Step 3: Cross multiply
    308,988,548.80x = 463,781,421.60 × 188,056,196.80
  4. Step 4: Simplify right side
    308,988,548.80x = 87,216,970,292,593,376
  5. Step 5: Solve for x
    x = 87,216,970,292,593,376/308,988,548.80
  6. Step 6: Final answer
    x = 282,266,027.76

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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.