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Finding the Fourth Proportional to 308,106.80, 462,176.60 and 97,761.20

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Solution

The fourth proportional to 308,106.80, 462,176.60 and 97,761.20 is: 146,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,106.80 : 462,176.60 = 97,761.20 : x
  2. Step 2: Convert to fraction form
    308,106.80/462,176.60 = 97,761.20/x
  3. Step 3: Cross multiply
    308,106.80x = 462,176.60 × 97,761.20
  4. Step 4: Simplify right side
    308,106.80x = 45,182,939,027.92
  5. Step 5: Solve for x
    x = 45,182,939,027.92/308,106.80
  6. Step 6: Final answer
    x = 146,647.00

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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.