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Finding the Fourth Proportional to 413,857.93, 621,574.26 and 257,181.25

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Solution

The fourth proportional to 413,857.93, 621,574.26 and 257,181.25 is: 386,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,857.93 : 621,574.26 = 257,181.25 : x
  2. Step 2: Convert to fraction form
    413,857.93/621,574.26 = 257,181.25/x
  3. Step 3: Cross multiply
    413,857.93x = 621,574.26 × 257,181.25
  4. Step 4: Simplify right side
    413,857.93x = 159,857,245,154.63
  5. Step 5: Solve for x
    x = 159,857,245,154.63/413,857.93
  6. Step 6: Final answer
    x = 386,261.16

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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.