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Finding the Fourth Proportional to 409,618.83, 565,265.88 and 228,319.95

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Solution

The fourth proportional to 409,618.83, 565,265.88 and 228,319.95 is: 315,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618.83 : 565,265.88 = 228,319.95 : x
  2. Step 2: Convert to fraction form
    409,618.83/565,265.88 = 228,319.95/x
  3. Step 3: Cross multiply
    409,618.83x = 565,265.88 × 228,319.95
  4. Step 4: Simplify right side
    409,618.83x = 129,061,477,458.31
  5. Step 5: Solve for x
    x = 129,061,477,458.31/409,618.83
  6. Step 6: Final answer
    x = 315,077.01

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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.