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Finding the Fourth Proportional to 575,742.87, 864,362.66 and 442,716.54

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Solution

The fourth proportional to 575,742.87, 864,362.66 and 442,716.54 is: 664,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,742.87 : 864,362.66 = 442,716.54 : x
  2. Step 2: Convert to fraction form
    575,742.87/864,362.66 = 442,716.54/x
  3. Step 3: Cross multiply
    575,742.87x = 864,362.66 × 442,716.54
  4. Step 4: Simplify right side
    575,742.87x = 382,667,643,926.81
  5. Step 5: Solve for x
    x = 382,667,643,926.81/575,742.87
  6. Step 6: Final answer
    x = 664,650.25

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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.