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Finding the Fourth Proportional to 257,029.60, 385,544.40 and 212,792.80

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Solution

The fourth proportional to 257,029.60, 385,544.40 and 212,792.80 is: 319,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,029.60 : 385,544.40 = 212,792.80 : x
  2. Step 2: Convert to fraction form
    257,029.60/385,544.40 = 212,792.80/x
  3. Step 3: Cross multiply
    257,029.60x = 385,544.40 × 212,792.80
  4. Step 4: Simplify right side
    257,029.60x = 82,041,072,400.32
  5. Step 5: Solve for x
    x = 82,041,072,400.32/257,029.60
  6. Step 6: Final answer
    x = 319,189.20

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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.