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Finding the Fourth Proportional to 409,987.98, 565,784.26 and 228,695.20

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Solution

The fourth proportional to 409,987.98, 565,784.26 and 228,695.20 is: 315,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,987.98 : 565,784.26 = 228,695.20 : x
  2. Step 2: Convert to fraction form
    409,987.98/565,784.26 = 228,695.20/x
  3. Step 3: Cross multiply
    409,987.98x = 565,784.26 × 228,695.20
  4. Step 4: Simplify right side
    409,987.98x = 129,392,142,511.35
  5. Step 5: Solve for x
    x = 129,392,142,511.35/409,987.98
  6. Step 6: Final answer
    x = 315,599.84

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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.