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Finding the Fourth Proportional to 397,456.76, 596,282.58 and 326,499.32

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Solution

The fourth proportional to 397,456.76, 596,282.58 and 326,499.32 is: 489,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,456.76 : 596,282.58 = 326,499.32 : x
  2. Step 2: Convert to fraction form
    397,456.76/596,282.58 = 326,499.32/x
  3. Step 3: Cross multiply
    397,456.76x = 596,282.58 × 326,499.32
  4. Step 4: Simplify right side
    397,456.76x = 194,685,856,897.85
  5. Step 5: Solve for x
    x = 194,685,856,897.85/397,456.76
  6. Step 6: Final answer
    x = 489,829.02

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1.5x scale

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.