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Finding the Fourth Proportional to 490,759, 676,970.22 and 309,159.16

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Solution

The fourth proportional to 490,759, 676,970.22 and 309,159.16 is: 426,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,759 : 676,970.22 = 309,159.16 : x
  2. Step 2: Convert to fraction form
    490,759/676,970.22 = 309,159.16/x
  3. Step 3: Cross multiply
    490,759x = 676,970.22 × 309,159.16
  4. Step 4: Simplify right side
    490,759x = 209,291,544,560.22
  5. Step 5: Solve for x
    x = 209,291,544,560.22/490,759
  6. Step 6: Final answer
    x = 426,465.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.