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Finding the Fourth Proportional to 520,798.64, 718,707.78 and 305,947.76

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Solution

The fourth proportional to 520,798.64, 718,707.78 and 305,947.76 is: 422,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,798.64 : 718,707.78 = 305,947.76 : x
  2. Step 2: Convert to fraction form
    520,798.64/718,707.78 = 305,947.76/x
  3. Step 3: Cross multiply
    520,798.64x = 718,707.78 × 305,947.76
  4. Step 4: Simplify right side
    520,798.64x = 219,887,035,385.57
  5. Step 5: Solve for x
    x = 219,887,035,385.57/520,798.64
  6. Step 6: Final answer
    x = 422,211.23

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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.