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Finding the Fourth Proportional to 429,160.68, 643,525.02 and 148,602.60

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Solution

The fourth proportional to 429,160.68, 643,525.02 and 148,602.60 is: 222,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,160.68 : 643,525.02 = 148,602.60 : x
  2. Step 2: Convert to fraction form
    429,160.68/643,525.02 = 148,602.60/x
  3. Step 3: Cross multiply
    429,160.68x = 643,525.02 × 148,602.60
  4. Step 4: Simplify right side
    429,160.68x = 95,629,491,137.05
  5. Step 5: Solve for x
    x = 95,629,491,137.05/429,160.68
  6. Step 6: Final answer
    x = 222,829.11

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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.