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Finding the Fourth Proportional to 510,377.64, 704,315.34 and 280,930.02

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Solution

The fourth proportional to 510,377.64, 704,315.34 and 280,930.02 is: 387,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,377.64 : 704,315.34 = 280,930.02 : x
  2. Step 2: Convert to fraction form
    510,377.64/704,315.34 = 280,930.02/x
  3. Step 3: Cross multiply
    510,377.64x = 704,315.34 × 280,930.02
  4. Step 4: Simplify right side
    510,377.64x = 197,863,322,552.51
  5. Step 5: Solve for x
    x = 197,863,322,552.51/510,377.64
  6. Step 6: Final answer
    x = 387,680.23

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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.