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Finding the Fourth Proportional to 520,800.64, 718,710.56 and 305,949.76

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Solution

The fourth proportional to 520,800.64, 718,710.56 and 305,949.76 is: 422,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,800.64 : 718,710.56 = 305,949.76 : x
  2. Step 2: Convert to fraction form
    520,800.64/718,710.56 = 305,949.76/x
  3. Step 3: Cross multiply
    520,800.64x = 718,710.56 × 305,949.76
  4. Step 4: Simplify right side
    520,800.64x = 219,889,323,341.47
  5. Step 5: Solve for x
    x = 219,889,323,341.47/520,800.64
  6. Step 6: Final answer
    x = 422,214.00

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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.