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Finding the Fourth Proportional to 343,803.21, 515,810.39 and 164,117.93

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Solution

The fourth proportional to 343,803.21, 515,810.39 and 164,117.93 is: 246,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,803.21 : 515,810.39 = 164,117.93 : x
  2. Step 2: Convert to fraction form
    343,803.21/515,810.39 = 164,117.93/x
  3. Step 3: Cross multiply
    343,803.21x = 515,810.39 × 164,117.93
  4. Step 4: Simplify right side
    343,803.21x = 84,653,730,079.65
  5. Step 5: Solve for x
    x = 84,653,730,079.65/343,803.21
  6. Step 6: Final answer
    x = 246,227.28

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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.