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Finding the Fourth Proportional to 536,222.64, 803,109.12 and 255,936.72

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Solution

The fourth proportional to 536,222.64, 803,109.12 and 255,936.72 is: 383,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,222.64 : 803,109.12 = 255,936.72 : x
  2. Step 2: Convert to fraction form
    536,222.64/803,109.12 = 255,936.72/x
  3. Step 3: Cross multiply
    536,222.64x = 803,109.12 × 255,936.72
  4. Step 4: Simplify right side
    536,222.64x = 205,545,113,974.89
  5. Step 5: Solve for x
    x = 205,545,113,974.89/536,222.64
  6. Step 6: Final answer
    x = 383,320.47

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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.