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Finding the Fourth Proportional to 287,953.93, 397,373.70 and 158,893.57

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Solution

The fourth proportional to 287,953.93, 397,373.70 and 158,893.57 is: 219,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,953.93 : 397,373.70 = 158,893.57 : x
  2. Step 2: Convert to fraction form
    287,953.93/397,373.70 = 158,893.57/x
  3. Step 3: Cross multiply
    287,953.93x = 397,373.70 × 158,893.57
  4. Step 4: Simplify right side
    287,953.93x = 63,140,125,817.11
  5. Step 5: Solve for x
    x = 63,140,125,817.11/287,953.93
  6. Step 6: Final answer
    x = 219,271.62

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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.