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Finding the Fourth Proportional to 287,668.18, 397,011.54 and 172,984.06

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Solution

The fourth proportional to 287,668.18, 397,011.54 and 172,984.06 is: 238,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,668.18 : 397,011.54 = 172,984.06 : x
  2. Step 2: Convert to fraction form
    287,668.18/397,011.54 = 172,984.06/x
  3. Step 3: Cross multiply
    287,668.18x = 397,011.54 × 172,984.06
  4. Step 4: Simplify right side
    287,668.18x = 68,676,668,056.05
  5. Step 5: Solve for x
    x = 68,676,668,056.05/287,668.18
  6. Step 6: Final answer
    x = 238,735.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.