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Finding the Fourth Proportional to 307,820.80, 461,731.20 and 97,475.20

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Solution

The fourth proportional to 307,820.80, 461,731.20 and 97,475.20 is: 146,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,820.80 : 461,731.20 = 97,475.20 : x
  2. Step 2: Convert to fraction form
    307,820.80/461,731.20 = 97,475.20/x
  3. Step 3: Cross multiply
    307,820.80x = 461,731.20 × 97,475.20
  4. Step 4: Simplify right side
    307,820.80x = 45,007,341,066.24
  5. Step 5: Solve for x
    x = 45,007,341,066.24/307,820.80
  6. Step 6: Final answer
    x = 146,212.80

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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.