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Finding the Fourth Proportional to 257,327.40, 385,991.10 and 242,893.20

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Solution

The fourth proportional to 257,327.40, 385,991.10 and 242,893.20 is: 364,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,327.40 : 385,991.10 = 242,893.20 : x
  2. Step 2: Convert to fraction form
    257,327.40/385,991.10 = 242,893.20/x
  3. Step 3: Cross multiply
    257,327.40x = 385,991.10 × 242,893.20
  4. Step 4: Simplify right side
    257,327.40x = 93,754,613,450.52
  5. Step 5: Solve for x
    x = 93,754,613,450.52/257,327.40
  6. Step 6: Final answer
    x = 364,339.80

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1.5x scale

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.