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Finding the Fourth Proportional to 287,897.94, 397,299.72 and 160,581.78

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Solution

The fourth proportional to 287,897.94, 397,299.72 and 160,581.78 is: 221,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,897.94 : 397,299.72 = 160,581.78 : x
  2. Step 2: Convert to fraction form
    287,897.94/397,299.72 = 160,581.78/x
  3. Step 3: Cross multiply
    287,897.94x = 397,299.72 × 160,581.78
  4. Step 4: Simplify right side
    287,897.94x = 63,799,096,231.10
  5. Step 5: Solve for x
    x = 63,799,096,231.10/287,897.94
  6. Step 6: Final answer
    x = 221,603.17

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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.