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Finding the Fourth Proportional to 407,111.08, 611,042.46 and 293,377

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Solution

The fourth proportional to 407,111.08, 611,042.46 and 293,377 is: 440,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,111.08 : 611,042.46 = 293,377 : x
  2. Step 2: Convert to fraction form
    407,111.08/611,042.46 = 293,377/x
  3. Step 3: Cross multiply
    407,111.08x = 611,042.46 × 293,377
  4. Step 4: Simplify right side
    407,111.08x = 179,265,803,787.42
  5. Step 5: Solve for x
    x = 179,265,803,787.42/407,111.08
  6. Step 6: Final answer
    x = 440,336.34

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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.