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Finding the Fourth Proportional to 507,127.83, 699,883.35 and 280,773.33

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Solution

The fourth proportional to 507,127.83, 699,883.35 and 280,773.33 is: 387,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,127.83 : 699,883.35 = 280,773.33 : x
  2. Step 2: Convert to fraction form
    507,127.83/699,883.35 = 280,773.33/x
  3. Step 3: Cross multiply
    507,127.83x = 699,883.35 × 280,773.33
  4. Step 4: Simplify right side
    507,127.83x = 196,508,573,887.77
  5. Step 5: Solve for x
    x = 196,508,573,887.77/507,127.83
  6. Step 6: Final answer
    x = 387,493.18

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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.