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Finding the Fourth Proportional to 285,871.40, 394,526.76 and 158,588

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Solution

The fourth proportional to 285,871.40, 394,526.76 and 158,588 is: 218,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,871.40 : 394,526.76 = 158,588 : x
  2. Step 2: Convert to fraction form
    285,871.40/394,526.76 = 158,588/x
  3. Step 3: Cross multiply
    285,871.40x = 394,526.76 × 158,588
  4. Step 4: Simplify right side
    285,871.40x = 62,567,209,814.88
  5. Step 5: Solve for x
    x = 62,567,209,814.88/285,871.40
  6. Step 6: Final answer
    x = 218,864.88

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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.