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Finding the Fourth Proportional to 397,884.60, 596,826.90 and 319,152.60

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Solution

The fourth proportional to 397,884.60, 596,826.90 and 319,152.60 is: 478,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,884.60 : 596,826.90 = 319,152.60 : x
  2. Step 2: Convert to fraction form
    397,884.60/596,826.90 = 319,152.60/x
  3. Step 3: Cross multiply
    397,884.60x = 596,826.90 × 319,152.60
  4. Step 4: Simplify right side
    397,884.60x = 190,478,856,884.94
  5. Step 5: Solve for x
    x = 190,478,856,884.94/397,884.60
  6. Step 6: Final answer
    x = 478,728.90

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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.