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Finding the Fourth Proportional to 510,150.63, 703,977.17 and 280,699.50

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Solution

The fourth proportional to 510,150.63, 703,977.17 and 280,699.50 is: 387,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,150.63 : 703,977.17 = 280,699.50 : x
  2. Step 2: Convert to fraction form
    510,150.63/703,977.17 = 280,699.50/x
  3. Step 3: Cross multiply
    510,150.63x = 703,977.17 × 280,699.50
  4. Step 4: Simplify right side
    510,150.63x = 197,606,038,226.92
  5. Step 5: Solve for x
    x = 197,606,038,226.92/510,150.63
  6. Step 6: Final answer
    x = 387,348.42

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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.