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Finding the Fourth Proportional to 520,820.88, 718,753.19 and 305,959.06

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Solution

The fourth proportional to 520,820.88, 718,753.19 and 305,959.06 is: 422,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,820.88 : 718,753.19 = 305,959.06 : x
  2. Step 2: Convert to fraction form
    520,820.88/718,753.19 = 305,959.06/x
  3. Step 3: Cross multiply
    520,820.88x = 718,753.19 × 305,959.06
  4. Step 4: Simplify right side
    520,820.88x = 219,909,050,384.40
  5. Step 5: Solve for x
    x = 219,909,050,384.40/520,820.88
  6. Step 6: Final answer
    x = 422,235.47

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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.