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Finding the Fourth Proportional to 448,078.31, 671,858.66 and 148,478.15

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Solution

The fourth proportional to 448,078.31, 671,858.66 and 148,478.15 is: 222,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,078.31 : 671,858.66 = 148,478.15 : x
  2. Step 2: Convert to fraction form
    448,078.31/671,858.66 = 148,478.15/x
  3. Step 3: Cross multiply
    448,078.31x = 671,858.66 × 148,478.15
  4. Step 4: Simplify right side
    448,078.31x = 99,756,326,796.60
  5. Step 5: Solve for x
    x = 99,756,326,796.60/448,078.31
  6. Step 6: Final answer
    x = 222,631.46

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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.