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Finding the Fourth Proportional to 257,388.16, 355,199.16 and 144,208.48

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Solution

The fourth proportional to 257,388.16, 355,199.16 and 144,208.48 is: 199,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,388.16 : 355,199.16 = 144,208.48 : x
  2. Step 2: Convert to fraction form
    257,388.16/355,199.16 = 144,208.48/x
  3. Step 3: Cross multiply
    257,388.16x = 355,199.16 × 144,208.48
  4. Step 4: Simplify right side
    257,388.16x = 51,222,730,960.88
  5. Step 5: Solve for x
    x = 51,222,730,960.88/257,388.16
  6. Step 6: Final answer
    x = 199,009.66

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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.