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Finding the Fourth Proportional to 510,355.98, 704,285.67 and 280,908.35

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Solution

The fourth proportional to 510,355.98, 704,285.67 and 280,908.35 is: 387,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,355.98 : 704,285.67 = 280,908.35 : x
  2. Step 2: Convert to fraction form
    510,355.98/704,285.67 = 280,908.35/x
  3. Step 3: Cross multiply
    510,355.98x = 704,285.67 × 280,908.35
  4. Step 4: Simplify right side
    510,355.98x = 197,839,721,966.92
  5. Step 5: Solve for x
    x = 197,839,721,966.92/510,355.98
  6. Step 6: Final answer
    x = 387,650.44

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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.