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Finding the Fourth Proportional to 521,736.64, 782,724.48 and 189,312.64

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Solution

The fourth proportional to 521,736.64, 782,724.48 and 189,312.64 is: 284,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,736.64 : 782,724.48 = 189,312.64 : x
  2. Step 2: Convert to fraction form
    521,736.64/782,724.48 = 189,312.64/x
  3. Step 3: Cross multiply
    521,736.64x = 782,724.48 × 189,312.64
  4. Step 4: Simplify right side
    521,736.64x = 148,179,637,701.43
  5. Step 5: Solve for x
    x = 148,179,637,701.43/521,736.64
  6. Step 6: Final answer
    x = 284,012.33

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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.