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Finding the Fourth Proportional to 397,259.30, 596,144.10 and 219,893.60

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Solution

The fourth proportional to 397,259.30, 596,144.10 and 219,893.60 is: 329,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,259.30 : 596,144.10 = 219,893.60 : x
  2. Step 2: Convert to fraction form
    397,259.30/596,144.10 = 219,893.60/x
  3. Step 3: Cross multiply
    397,259.30x = 596,144.10 × 219,893.60
  4. Step 4: Simplify right side
    397,259.30x = 131,088,272,267.76
  5. Step 5: Solve for x
    x = 131,088,272,267.76/397,259.30
  6. Step 6: Final answer
    x = 329,981.63

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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.