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Finding the Fourth Proportional to 507,049.60, 699,508.80 and 305,733.76

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Solution

The fourth proportional to 507,049.60, 699,508.80 and 305,733.76 is: 421,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,049.60 : 699,508.80 = 305,733.76 : x
  2. Step 2: Convert to fraction form
    507,049.60/699,508.80 = 305,733.76/x
  3. Step 3: Cross multiply
    507,049.60x = 699,508.80 × 305,733.76
  4. Step 4: Simplify right side
    507,049.60x = 213,863,455,577.09
  5. Step 5: Solve for x
    x = 213,863,455,577.09/507,049.60
  6. Step 6: Final answer
    x = 421,780.15

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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.