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Finding the Fourth Proportional to 399,995.62, 599,417.93 and 172,228.71

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Solution

The fourth proportional to 399,995.62, 599,417.93 and 172,228.71 is: 258,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,995.62 : 599,417.93 = 172,228.71 : x
  2. Step 2: Convert to fraction form
    399,995.62/599,417.93 = 172,228.71/x
  3. Step 3: Cross multiply
    399,995.62x = 599,417.93 × 172,228.71
  4. Step 4: Simplify right side
    399,995.62x = 103,236,976,834.77
  5. Step 5: Solve for x
    x = 103,236,976,834.77/399,995.62
  6. Step 6: Final answer
    x = 258,095.27

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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.