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Finding the Fourth Proportional to 503,077.35, 694,345.32 and 288,361.20

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Solution

The fourth proportional to 503,077.35, 694,345.32 and 288,361.20 is: 397,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,077.35 : 694,345.32 = 288,361.20 : x
  2. Step 2: Convert to fraction form
    503,077.35/694,345.32 = 288,361.20/x
  3. Step 3: Cross multiply
    503,077.35x = 694,345.32 × 288,361.20
  4. Step 4: Simplify right side
    503,077.35x = 200,222,249,689.58
  5. Step 5: Solve for x
    x = 200,222,249,689.58/503,077.35
  6. Step 6: Final answer
    x = 397,994.96

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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.