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Finding the Fourth Proportional to 553,107.82, 829,919.94 and 286,723.03

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Solution

The fourth proportional to 553,107.82, 829,919.94 and 286,723.03 is: 430,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,107.82 : 829,919.94 = 286,723.03 : x
  2. Step 2: Convert to fraction form
    553,107.82/829,919.94 = 286,723.03/x
  3. Step 3: Cross multiply
    553,107.82x = 829,919.94 × 286,723.03
  4. Step 4: Simplify right side
    553,107.82x = 237,957,159,854.22
  5. Step 5: Solve for x
    x = 237,957,159,854.22/553,107.82
  6. Step 6: Final answer
    x = 430,218.40

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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.