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Finding the Fourth Proportional to 397,108.76, 548,014.32 and 215,820.70

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Solution

The fourth proportional to 397,108.76, 548,014.32 and 215,820.70 is: 297,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,108.76 : 548,014.32 = 215,820.70 : x
  2. Step 2: Convert to fraction form
    397,108.76/548,014.32 = 215,820.70/x
  3. Step 3: Cross multiply
    397,108.76x = 548,014.32 × 215,820.70
  4. Step 4: Simplify right side
    397,108.76x = 118,272,834,152.42
  5. Step 5: Solve for x
    x = 118,272,834,152.42/397,108.76
  6. Step 6: Final answer
    x = 297,834.87

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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.