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Finding the Fourth Proportional to 299,953.94, 413,981.51 and 172,604.93

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Solution

The fourth proportional to 299,953.94, 413,981.51 and 172,604.93 is: 238,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,953.94 : 413,981.51 = 172,604.93 : x
  2. Step 2: Convert to fraction form
    299,953.94/413,981.51 = 172,604.93/x
  3. Step 3: Cross multiply
    299,953.94x = 413,981.51 × 172,604.93
  4. Step 4: Simplify right side
    299,953.94x = 71,455,246,621.91
  5. Step 5: Solve for x
    x = 71,455,246,621.91/299,953.94
  6. Step 6: Final answer
    x = 238,220.73

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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.