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Finding the Fourth Proportional to 257,066.40, 385,437.60 and 107,410.80

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Solution

The fourth proportional to 257,066.40, 385,437.60 and 107,410.80 is: 161,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,066.40 : 385,437.60 = 107,410.80 : x
  2. Step 2: Convert to fraction form
    257,066.40/385,437.60 = 107,410.80/x
  3. Step 3: Cross multiply
    257,066.40x = 385,437.60 × 107,410.80
  4. Step 4: Simplify right side
    257,066.40x = 41,400,160,966.08
  5. Step 5: Solve for x
    x = 41,400,160,966.08/257,066.40
  6. Step 6: Final answer
    x = 161,048.51

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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.