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Finding the Fourth Proportional to 285,859.40, 394,510.20 and 158,576

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Solution

The fourth proportional to 285,859.40, 394,510.20 and 158,576 is: 218,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,859.40 : 394,510.20 = 158,576 : x
  2. Step 2: Convert to fraction form
    285,859.40/394,510.20 = 158,576/x
  3. Step 3: Cross multiply
    285,859.40x = 394,510.20 × 158,576
  4. Step 4: Simplify right side
    285,859.40x = 62,559,849,475.20
  5. Step 5: Solve for x
    x = 62,559,849,475.20/285,859.40
  6. Step 6: Final answer
    x = 218,848.32

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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.