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Finding the Fourth Proportional to 385,393.40, 578,061.30 and 160,695.80

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Solution

The fourth proportional to 385,393.40, 578,061.30 and 160,695.80 is: 241,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,393.40 : 578,061.30 = 160,695.80 : x
  2. Step 2: Convert to fraction form
    385,393.40/578,061.30 = 160,695.80/x
  3. Step 3: Cross multiply
    385,393.40x = 578,061.30 × 160,695.80
  4. Step 4: Simplify right side
    385,393.40x = 92,892,023,052.54
  5. Step 5: Solve for x
    x = 92,892,023,052.54/385,393.40
  6. Step 6: Final answer
    x = 241,031.69

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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.