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Finding the Fourth Proportional to 382,497.75, 573,743.21 and 142,603.50

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Solution

The fourth proportional to 382,497.75, 573,743.21 and 142,603.50 is: 213,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,497.75 : 573,743.21 = 142,603.50 : x
  2. Step 2: Convert to fraction form
    382,497.75/573,743.21 = 142,603.50/x
  3. Step 3: Cross multiply
    382,497.75x = 573,743.21 × 142,603.50
  4. Step 4: Simplify right side
    382,497.75x = 81,817,788,058.45
  5. Step 5: Solve for x
    x = 81,817,788,058.45/382,497.75
  6. Step 6: Final answer
    x = 213,903.97

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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.