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Finding the Fourth Proportional to 536,370.78, 804,654.54 and 255,888

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Solution

The fourth proportional to 536,370.78, 804,654.54 and 255,888 is: 383,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,370.78 : 804,654.54 = 255,888 : x
  2. Step 2: Convert to fraction form
    536,370.78/804,654.54 = 255,888/x
  3. Step 3: Cross multiply
    536,370.78x = 804,654.54 × 255,888
  4. Step 4: Simplify right side
    536,370.78x = 205,901,440,931.52
  5. Step 5: Solve for x
    x = 205,901,440,931.52/536,370.78
  6. Step 6: Final answer
    x = 383,878.93

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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.