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Finding the Fourth Proportional to 397,767.60, 596,651.40 and 319,035.60

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Solution

The fourth proportional to 397,767.60, 596,651.40 and 319,035.60 is: 478,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,767.60 : 596,651.40 = 319,035.60 : x
  2. Step 2: Convert to fraction form
    397,767.60/596,651.40 = 319,035.60/x
  3. Step 3: Cross multiply
    397,767.60x = 596,651.40 × 319,035.60
  4. Step 4: Simplify right side
    397,767.60x = 190,353,037,389.84
  5. Step 5: Solve for x
    x = 190,353,037,389.84/397,767.60
  6. Step 6: Final answer
    x = 478,553.40

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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.