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Finding the Fourth Proportional to 397,765.60, 596,648.40 and 319,033.60

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Solution

The fourth proportional to 397,765.60, 596,648.40 and 319,033.60 is: 478,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,765.60 : 596,648.40 = 319,033.60 : x
  2. Step 2: Convert to fraction form
    397,765.60/596,648.40 = 319,033.60/x
  3. Step 3: Cross multiply
    397,765.60x = 596,648.40 × 319,033.60
  4. Step 4: Simplify right side
    397,765.60x = 190,350,886,986.24
  5. Step 5: Solve for x
    x = 190,350,886,986.24/397,765.60
  6. Step 6: Final answer
    x = 478,550.40

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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.