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Finding the Fourth Proportional to 287,998.50, 431,647.35 and 203,782.89

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Solution

The fourth proportional to 287,998.50, 431,647.35 and 203,782.89 is: 305,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,998.50 : 431,647.35 = 203,782.89 : x
  2. Step 2: Convert to fraction form
    287,998.50/431,647.35 = 203,782.89/x
  3. Step 3: Cross multiply
    287,998.50x = 431,647.35 × 203,782.89
  4. Step 4: Simplify right side
    287,998.50x = 87,962,344,443.84
  5. Step 5: Solve for x
    x = 87,962,344,443.84/287,998.50
  6. Step 6: Final answer
    x = 305,426.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.