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Finding the Fourth Proportional to 257,386.48, 355,192.32 and 144,208.96

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Solution

The fourth proportional to 257,386.48, 355,192.32 and 144,208.96 is: 199,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,386.48 : 355,192.32 = 144,208.96 : x
  2. Step 2: Convert to fraction form
    257,386.48/355,192.32 = 144,208.96/x
  3. Step 3: Cross multiply
    257,386.48x = 355,192.32 × 144,208.96
  4. Step 4: Simplify right side
    257,386.48x = 51,221,914,719.99
  5. Step 5: Solve for x
    x = 51,221,914,719.99/257,386.48
  6. Step 6: Final answer
    x = 199,007.79

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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.