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Finding the Fourth Proportional to 385,391.40, 578,058.30 and 160,693.80

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Solution

The fourth proportional to 385,391.40, 578,058.30 and 160,693.80 is: 241,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,391.40 : 578,058.30 = 160,693.80 : x
  2. Step 2: Convert to fraction form
    385,391.40/578,058.30 = 160,693.80/x
  3. Step 3: Cross multiply
    385,391.40x = 578,058.30 × 160,693.80
  4. Step 4: Simplify right side
    385,391.40x = 92,890,384,848.54
  5. Step 5: Solve for x
    x = 92,890,384,848.54/385,391.40
  6. Step 6: Final answer
    x = 241,028.69

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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.