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Finding the Fourth Proportional to 257,031.80, 385,657.05 and 162,334.70

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Solution

The fourth proportional to 257,031.80, 385,657.05 and 162,334.70 is: 243,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,031.80 : 385,657.05 = 162,334.70 : x
  2. Step 2: Convert to fraction form
    257,031.80/385,657.05 = 162,334.70/x
  3. Step 3: Cross multiply
    257,031.80x = 385,657.05 × 162,334.70
  4. Step 4: Simplify right side
    257,031.80x = 62,605,521,514.64
  5. Step 5: Solve for x
    x = 62,605,521,514.64/257,031.80
  6. Step 6: Final answer
    x = 243,571.11

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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.