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Finding the Fourth Proportional to 533,805.09, 736,653.29 and 288,789.10

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Solution

The fourth proportional to 533,805.09, 736,653.29 and 288,789.10 is: 398,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,805.09 : 736,653.29 = 288,789.10 : x
  2. Step 2: Convert to fraction form
    533,805.09/736,653.29 = 288,789.10/x
  3. Step 3: Cross multiply
    533,805.09x = 736,653.29 × 288,789.10
  4. Step 4: Simplify right side
    533,805.09x = 212,737,437,345.56
  5. Step 5: Solve for x
    x = 212,737,437,345.56/533,805.09
  6. Step 6: Final answer
    x = 398,530.18

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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.