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Finding the Fourth Proportional to 505,329.60, 756,244.80 and 463,339.20

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Solution

The fourth proportional to 505,329.60, 756,244.80 and 463,339.20 is: 693,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,329.60 : 756,244.80 = 463,339.20 : x
  2. Step 2: Convert to fraction form
    505,329.60/756,244.80 = 463,339.20/x
  3. Step 3: Cross multiply
    505,329.60x = 756,244.80 × 463,339.20
  4. Step 4: Simplify right side
    505,329.60x = 350,397,860,636.16
  5. Step 5: Solve for x
    x = 350,397,860,636.16/505,329.60
  6. Step 6: Final answer
    x = 693,404.58

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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.