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Finding the Fourth Proportional to 355,029.86, 489,947.54 and 217,231.77

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Solution

The fourth proportional to 355,029.86, 489,947.54 and 217,231.77 is: 299,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,029.86 : 489,947.54 = 217,231.77 : x
  2. Step 2: Convert to fraction form
    355,029.86/489,947.54 = 217,231.77/x
  3. Step 3: Cross multiply
    355,029.86x = 489,947.54 × 217,231.77
  4. Step 4: Simplify right side
    355,029.86x = 106,432,172,072.49
  5. Step 5: Solve for x
    x = 106,432,172,072.49/355,029.86
  6. Step 6: Final answer
    x = 299,783.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.