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Finding the Fourth Proportional to 429,955.25, 645,192.08 and 149,669.33

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Solution

The fourth proportional to 429,955.25, 645,192.08 and 149,669.33 is: 224,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,955.25 : 645,192.08 = 149,669.33 : x
  2. Step 2: Convert to fraction form
    429,955.25/645,192.08 = 149,669.33/x
  3. Step 3: Cross multiply
    429,955.25x = 645,192.08 × 149,669.33
  4. Step 4: Simplify right side
    429,955.25x = 96,565,462,360.60
  5. Step 5: Solve for x
    x = 96,565,462,360.60/429,955.25
  6. Step 6: Final answer
    x = 224,594.22

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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.