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Finding the Fourth Proportional to 429,942.84, 645,006 and 145,623.43

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Solution

The fourth proportional to 429,942.84, 645,006 and 145,623.43 is: 218,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,942.84 : 645,006 = 145,623.43 : x
  2. Step 2: Convert to fraction form
    429,942.84/645,006 = 145,623.43/x
  3. Step 3: Cross multiply
    429,942.84x = 645,006 × 145,623.43
  4. Step 4: Simplify right side
    429,942.84x = 93,927,986,090.58
  5. Step 5: Solve for x
    x = 93,927,986,090.58/429,942.84
  6. Step 6: Final answer
    x = 218,466.22

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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.