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Finding the Fourth Proportional to 488,138.60, 732,645.30 and 421,653.80

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Solution

The fourth proportional to 488,138.60, 732,645.30 and 421,653.80 is: 632,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,138.60 : 732,645.30 = 421,653.80 : x
  2. Step 2: Convert to fraction form
    488,138.60/732,645.30 = 421,653.80/x
  3. Step 3: Cross multiply
    488,138.60x = 732,645.30 × 421,653.80
  4. Step 4: Simplify right side
    488,138.60x = 308,922,674,797.14
  5. Step 5: Solve for x
    x = 308,922,674,797.14/488,138.60
  6. Step 6: Final answer
    x = 632,858.53

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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.