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Finding the Fourth Proportional to 553,809.87, 764,258.31 and 299,161.06

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Solution

The fourth proportional to 553,809.87, 764,258.31 and 299,161.06 is: 412,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,809.87 : 764,258.31 = 299,161.06 : x
  2. Step 2: Convert to fraction form
    553,809.87/764,258.31 = 299,161.06/x
  3. Step 3: Cross multiply
    553,809.87x = 764,258.31 × 299,161.06
  4. Step 4: Simplify right side
    553,809.87x = 228,636,326,133.41
  5. Step 5: Solve for x
    x = 228,636,326,133.41/553,809.87
  6. Step 6: Final answer
    x = 412,842.64

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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.