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Finding the Fourth Proportional to 533,965.42, 736,869.62 and 288,950

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Solution

The fourth proportional to 533,965.42, 736,869.62 and 288,950 is: 398,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,965.42 : 736,869.62 = 288,950 : x
  2. Step 2: Convert to fraction form
    533,965.42/736,869.62 = 288,950/x
  3. Step 3: Cross multiply
    533,965.42x = 736,869.62 × 288,950
  4. Step 4: Simplify right side
    533,965.42x = 212,918,476,699
  5. Step 5: Solve for x
    x = 212,918,476,699/533,965.42
  6. Step 6: Final answer
    x = 398,749.56

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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.