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Finding the Fourth Proportional to 426,889.32, 640,519.74 and 202,407

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Solution

The fourth proportional to 426,889.32, 640,519.74 and 202,407 is: 303,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,889.32 : 640,519.74 = 202,407 : x
  2. Step 2: Convert to fraction form
    426,889.32/640,519.74 = 202,407/x
  3. Step 3: Cross multiply
    426,889.32x = 640,519.74 × 202,407
  4. Step 4: Simplify right side
    426,889.32x = 129,645,679,014.18
  5. Step 5: Solve for x
    x = 129,645,679,014.18/426,889.32
  6. Step 6: Final answer
    x = 303,698.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.