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Finding the Fourth Proportional to 343,908.84, 515,382.72 and 293,042.16

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Solution

The fourth proportional to 343,908.84, 515,382.72 and 293,042.16 is: 439,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,908.84 : 515,382.72 = 293,042.16 : x
  2. Step 2: Convert to fraction form
    343,908.84/515,382.72 = 293,042.16/x
  3. Step 3: Cross multiply
    343,908.84x = 515,382.72 × 293,042.16
  4. Step 4: Simplify right side
    343,908.84x = 151,028,865,495.48
  5. Step 5: Solve for x
    x = 151,028,865,495.48/343,908.84
  6. Step 6: Final answer
    x = 439,153.78

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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.