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Finding the Fourth Proportional to 538,483.14, 743,141.77 and 309,114.66

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Solution

The fourth proportional to 538,483.14, 743,141.77 and 309,114.66 is: 426,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,483.14 : 743,141.77 = 309,114.66 : x
  2. Step 2: Convert to fraction form
    538,483.14/743,141.77 = 309,114.66/x
  3. Step 3: Cross multiply
    538,483.14x = 743,141.77 × 309,114.66
  4. Step 4: Simplify right side
    538,483.14x = 229,716,015,565.35
  5. Step 5: Solve for x
    x = 229,716,015,565.35/538,483.14
  6. Step 6: Final answer
    x = 426,598.34

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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.