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Finding the Fourth Proportional to 503,254.10, 694,509.78 and 288,435.62

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Solution

The fourth proportional to 503,254.10, 694,509.78 and 288,435.62 is: 398,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,254.10 : 694,509.78 = 288,435.62 : x
  2. Step 2: Convert to fraction form
    503,254.10/694,509.78 = 288,435.62/x
  3. Step 3: Cross multiply
    503,254.10x = 694,509.78 × 288,435.62
  4. Step 4: Simplify right side
    503,254.10x = 200,321,357,548.19
  5. Step 5: Solve for x
    x = 200,321,357,548.19/503,254.10
  6. Step 6: Final answer
    x = 398,052.11

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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.