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Finding the Fourth Proportional to 813,798, 1,123,054.74 and 451,237.14

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Solution

The fourth proportional to 813,798, 1,123,054.74 and 451,237.14 is: 622,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,798 : 1,123,054.74 = 451,237.14 : x
  2. Step 2: Convert to fraction form
    813,798/1,123,054.74 = 451,237.14/x
  3. Step 3: Cross multiply
    813,798x = 1,123,054.74 × 451,237.14
  4. Step 4: Simplify right side
    813,798x = 506,764,008,941.04
  5. Step 5: Solve for x
    x = 506,764,008,941.04/813,798
  6. Step 6: Final answer
    x = 622,714.74

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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.