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Finding the Fourth Proportional to 539,318, 744,258.84 and 300,854

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Solution

The fourth proportional to 539,318, 744,258.84 and 300,854 is: 415,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,318 : 744,258.84 = 300,854 : x
  2. Step 2: Convert to fraction form
    539,318/744,258.84 = 300,854/x
  3. Step 3: Cross multiply
    539,318x = 744,258.84 × 300,854
  4. Step 4: Simplify right side
    539,318x = 223,913,249,049.36
  5. Step 5: Solve for x
    x = 223,913,249,049.36/539,318
  6. Step 6: Final answer
    x = 415,178.52

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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.