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Finding the Fourth Proportional to 489,458.08, 733,005.60 and 278,456.32

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Solution

The fourth proportional to 489,458.08, 733,005.60 and 278,456.32 is: 417,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,458.08 : 733,005.60 = 278,456.32 : x
  2. Step 2: Convert to fraction form
    489,458.08/733,005.60 = 278,456.32/x
  3. Step 3: Cross multiply
    489,458.08x = 733,005.60 × 278,456.32
  4. Step 4: Simplify right side
    489,458.08x = 204,110,041,915.39
  5. Step 5: Solve for x
    x = 204,110,041,915.39/489,458.08
  6. Step 6: Final answer
    x = 417,012.30

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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.