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Finding the Fourth Proportional to 257,424.40, 385,829.40 and 107,664.40

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Solution

The fourth proportional to 257,424.40, 385,829.40 and 107,664.40 is: 161,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424.40 : 385,829.40 = 107,664.40 : x
  2. Step 2: Convert to fraction form
    257,424.40/385,829.40 = 107,664.40/x
  3. Step 3: Cross multiply
    257,424.40x = 385,829.40 × 107,664.40
  4. Step 4: Simplify right side
    257,424.40x = 41,540,090,853.36
  5. Step 5: Solve for x
    x = 41,540,090,853.36/257,424.40
  6. Step 6: Final answer
    x = 161,368.12

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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.