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Finding the Fourth Proportional to 354,017.16, 488,488.86 and 203,085

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Solution

The fourth proportional to 354,017.16, 488,488.86 and 203,085 is: 280,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,017.16 : 488,488.86 = 203,085 : x
  2. Step 2: Convert to fraction form
    354,017.16/488,488.86 = 203,085/x
  3. Step 3: Cross multiply
    354,017.16x = 488,488.86 × 203,085
  4. Step 4: Simplify right side
    354,017.16x = 99,204,760,133.10
  5. Step 5: Solve for x
    x = 99,204,760,133.10/354,017.16
  6. Step 6: Final answer
    x = 280,225.85

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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.