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Finding the Fourth Proportional to 307,978.60, 461,924.70 and 97,637.80

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Solution

The fourth proportional to 307,978.60, 461,924.70 and 97,637.80 is: 146,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,978.60 : 461,924.70 = 97,637.80 : x
  2. Step 2: Convert to fraction form
    307,978.60/461,924.70 = 97,637.80/x
  3. Step 3: Cross multiply
    307,978.60x = 461,924.70 × 97,637.80
  4. Step 4: Simplify right side
    307,978.60x = 45,101,311,473.66
  5. Step 5: Solve for x
    x = 45,101,311,473.66/307,978.60
  6. Step 6: Final answer
    x = 146,443.00

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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.