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Finding the Fourth Proportional to 287,902.83, 397,307.40 and 158,845.80

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Solution

The fourth proportional to 287,902.83, 397,307.40 and 158,845.80 is: 219,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,902.83 : 397,307.40 = 158,845.80 : x
  2. Step 2: Convert to fraction form
    287,902.83/397,307.40 = 158,845.80/x
  3. Step 3: Cross multiply
    287,902.83x = 397,307.40 × 158,845.80
  4. Step 4: Simplify right side
    287,902.83x = 63,110,611,798.92
  5. Step 5: Solve for x
    x = 63,110,611,798.92/287,902.83
  6. Step 6: Final answer
    x = 219,208.03

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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.