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Finding the Fourth Proportional to 387,029.34, 580,612.05 and 176,688.54

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Solution

The fourth proportional to 387,029.34, 580,612.05 and 176,688.54 is: 265,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,029.34 : 580,612.05 = 176,688.54 : x
  2. Step 2: Convert to fraction form
    387,029.34/580,612.05 = 176,688.54/x
  3. Step 3: Cross multiply
    387,029.34x = 580,612.05 × 176,688.54
  4. Step 4: Simplify right side
    387,029.34x = 102,587,495,420.91
  5. Step 5: Solve for x
    x = 102,587,495,420.91/387,029.34
  6. Step 6: Final answer
    x = 265,063.87

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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.