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Finding the Fourth Proportional to 507,154, 699,894.39 and 280,799.50

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Solution

The fourth proportional to 507,154, 699,894.39 and 280,799.50 is: 387,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,154 : 699,894.39 = 280,799.50 : x
  2. Step 2: Convert to fraction form
    507,154/699,894.39 = 280,799.50/x
  3. Step 3: Cross multiply
    507,154x = 699,894.39 × 280,799.50
  4. Step 4: Simplify right side
    507,154x = 196,529,994,764.81
  5. Step 5: Solve for x
    x = 196,529,994,764.81/507,154
  6. Step 6: Final answer
    x = 387,515.42

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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.