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Finding the Fourth Proportional to 507,764.76, 700,711 and 278,334.80

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Solution

The fourth proportional to 507,764.76, 700,711 and 278,334.80 is: 384,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,764.76 : 700,711 = 278,334.80 : x
  2. Step 2: Convert to fraction form
    507,764.76/700,711 = 278,334.80/x
  3. Step 3: Cross multiply
    507,764.76x = 700,711 × 278,334.80
  4. Step 4: Simplify right side
    507,764.76x = 195,032,256,042.80
  5. Step 5: Solve for x
    x = 195,032,256,042.80/507,764.76
  6. Step 6: Final answer
    x = 384,099.63

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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.