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Finding the Fourth Proportional to 380,265.71, 524,160.16 and 257,719.89

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Solution

The fourth proportional to 380,265.71, 524,160.16 and 257,719.89 is: 355,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,265.71 : 524,160.16 = 257,719.89 : x
  2. Step 2: Convert to fraction form
    380,265.71/524,160.16 = 257,719.89/x
  3. Step 3: Cross multiply
    380,265.71x = 524,160.16 × 257,719.89
  4. Step 4: Simplify right side
    380,265.71x = 135,086,501,548.56
  5. Step 5: Solve for x
    x = 135,086,501,548.56/380,265.71
  6. Step 6: Final answer
    x = 355,242.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.