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Finding the Fourth Proportional to 511,006.34, 705,272.73 and 284,724.74

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Solution

The fourth proportional to 511,006.34, 705,272.73 and 284,724.74 is: 392,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,006.34 : 705,272.73 = 284,724.74 : x
  2. Step 2: Convert to fraction form
    511,006.34/705,272.73 = 284,724.74/x
  3. Step 3: Cross multiply
    511,006.34x = 705,272.73 × 284,724.74
  4. Step 4: Simplify right side
    511,006.34x = 200,808,594,678.34
  5. Step 5: Solve for x
    x = 200,808,594,678.34/511,006.34
  6. Step 6: Final answer
    x = 392,966.93

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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.