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Finding the Fourth Proportional to 510,312.80, 704,238 and 280,896.56

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Solution

The fourth proportional to 510,312.80, 704,238 and 280,896.56 is: 387,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,312.80 : 704,238 = 280,896.56 : x
  2. Step 2: Convert to fraction form
    510,312.80/704,238 = 280,896.56/x
  3. Step 3: Cross multiply
    510,312.80x = 704,238 × 280,896.56
  4. Step 4: Simplify right side
    510,312.80x = 197,818,031,621.28
  5. Step 5: Solve for x
    x = 197,818,031,621.28/510,312.80
  6. Step 6: Final answer
    x = 387,640.74

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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.