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Finding the Fourth Proportional to 507,139.31, 699,874.12 and 280,784.81

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Solution

The fourth proportional to 507,139.31, 699,874.12 and 280,784.81 is: 387,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,139.31 : 699,874.12 = 280,784.81 : x
  2. Step 2: Convert to fraction form
    507,139.31/699,874.12 = 280,784.81/x
  3. Step 3: Cross multiply
    507,139.31x = 699,874.12 × 280,784.81
  4. Step 4: Simplify right side
    507,139.31x = 196,514,023,908.78
  5. Step 5: Solve for x
    x = 196,514,023,908.78/507,139.31
  6. Step 6: Final answer
    x = 387,495.15

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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.