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Finding the Fourth Proportional to 389,396.86, 537,610.90 and 298,578.32

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Solution

The fourth proportional to 389,396.86, 537,610.90 and 298,578.32 is: 412,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,396.86 : 537,610.90 = 298,578.32 : x
  2. Step 2: Convert to fraction form
    389,396.86/537,610.90 = 298,578.32/x
  3. Step 3: Cross multiply
    389,396.86x = 537,610.90 × 298,578.32
  4. Step 4: Simplify right side
    389,396.86x = 160,518,959,335.69
  5. Step 5: Solve for x
    x = 160,518,959,335.69/389,396.86
  6. Step 6: Final answer
    x = 412,224.59

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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.