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Finding the Fourth Proportional to 257,058.09, 354,630.25 and 155,025.53

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Solution

The fourth proportional to 257,058.09, 354,630.25 and 155,025.53 is: 213,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,058.09 : 354,630.25 = 155,025.53 : x
  2. Step 2: Convert to fraction form
    257,058.09/354,630.25 = 155,025.53/x
  3. Step 3: Cross multiply
    257,058.09x = 354,630.25 × 155,025.53
  4. Step 4: Simplify right side
    257,058.09x = 54,976,742,210.78
  5. Step 5: Solve for x
    x = 54,976,742,210.78/257,058.09
  6. Step 6: Final answer
    x = 213,868.94

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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.