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Finding the Fourth Proportional to 261,168.84, 392,212.51 and 257,429.07

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Solution

The fourth proportional to 261,168.84, 392,212.51 and 257,429.07 is: 386,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,168.84 : 392,212.51 = 257,429.07 : x
  2. Step 2: Convert to fraction form
    261,168.84/392,212.51 = 257,429.07/x
  3. Step 3: Cross multiply
    261,168.84x = 392,212.51 × 257,429.07
  4. Step 4: Simplify right side
    261,168.84x = 100,966,901,048.09
  5. Step 5: Solve for x
    x = 100,966,901,048.09/261,168.84
  6. Step 6: Final answer
    x = 386,596.28

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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.