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Finding the Fourth Proportional to 257,271.16, 355,078.14 and 149,904.82

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Solution

The fourth proportional to 257,271.16, 355,078.14 and 149,904.82 is: 206,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,271.16 : 355,078.14 = 149,904.82 : x
  2. Step 2: Convert to fraction form
    257,271.16/355,078.14 = 149,904.82/x
  3. Step 3: Cross multiply
    257,271.16x = 355,078.14 × 149,904.82
  4. Step 4: Simplify right side
    257,271.16x = 53,227,924,662.63
  5. Step 5: Solve for x
    x = 53,227,924,662.63/257,271.16
  6. Step 6: Final answer
    x = 206,894.25

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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.