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Finding the Fourth Proportional to 507,141, 699,876.45 and 280,786.50

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Solution

The fourth proportional to 507,141, 699,876.45 and 280,786.50 is: 387,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,141 : 699,876.45 = 280,786.50 : x
  2. Step 2: Convert to fraction form
    507,141/699,876.45 = 280,786.50/x
  3. Step 3: Cross multiply
    507,141x = 699,876.45 × 280,786.50
  4. Step 4: Simplify right side
    507,141x = 196,515,858,827.93
  5. Step 5: Solve for x
    x = 196,515,858,827.93/507,141
  6. Step 6: Final answer
    x = 387,497.48

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1.5x scale

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.