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Finding the Fourth Proportional to 285,784.84, 428,672.80 and 69,646.04

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Solution

The fourth proportional to 285,784.84, 428,672.80 and 69,646.04 is: 104,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,784.84 : 428,672.80 = 69,646.04 : x
  2. Step 2: Convert to fraction form
    285,784.84/428,672.80 = 69,646.04/x
  3. Step 3: Cross multiply
    285,784.84x = 428,672.80 × 69,646.04
  4. Step 4: Simplify right side
    285,784.84x = 29,855,362,975.71
  5. Step 5: Solve for x
    x = 29,855,362,975.71/285,784.84
  6. Step 6: Final answer
    x = 104,467.97

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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.