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Finding the Fourth Proportional to 287,957.97, 397,379.30 and 158,897.63

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Solution

The fourth proportional to 287,957.97, 397,379.30 and 158,897.63 is: 219,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,957.97 : 397,379.30 = 158,897.63 : x
  2. Step 2: Convert to fraction form
    287,957.97/397,379.30 = 158,897.63/x
  3. Step 3: Cross multiply
    287,957.97x = 397,379.30 × 158,897.63
  4. Step 4: Simplify right side
    287,957.97x = 63,142,626,199.67
  5. Step 5: Solve for x
    x = 63,142,626,199.67/287,957.97
  6. Step 6: Final answer
    x = 219,277.23

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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.