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Finding the Fourth Proportional to 307,907.20, 461,875.20 and 97,561.60

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Solution

The fourth proportional to 307,907.20, 461,875.20 and 97,561.60 is: 146,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,907.20 : 461,875.20 = 97,561.60 : x
  2. Step 2: Convert to fraction form
    307,907.20/461,875.20 = 97,561.60/x
  3. Step 3: Cross multiply
    307,907.20x = 461,875.20 × 97,561.60
  4. Step 4: Simplify right side
    307,907.20x = 45,061,283,512.32
  5. Step 5: Solve for x
    x = 45,061,283,512.32/307,907.20
  6. Step 6: Final answer
    x = 146,346.96

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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.