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Finding the Fourth Proportional to 510,638.72, 704,653.44 and 281,151.20

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Solution

The fourth proportional to 510,638.72, 704,653.44 and 281,151.20 is: 387,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,638.72 : 704,653.44 = 281,151.20 : x
  2. Step 2: Convert to fraction form
    510,638.72/704,653.44 = 281,151.20/x
  3. Step 3: Cross multiply
    510,638.72x = 704,653.44 × 281,151.20
  4. Step 4: Simplify right side
    510,638.72x = 198,114,160,240.13
  5. Step 5: Solve for x
    x = 198,114,160,240.13/510,638.72
  6. Step 6: Final answer
    x = 387,973.24

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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.