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Finding the Fourth Proportional to 287,356.26, 396,582.80 and 158,307.96

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Solution

The fourth proportional to 287,356.26, 396,582.80 and 158,307.96 is: 218,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,356.26 : 396,582.80 = 158,307.96 : x
  2. Step 2: Convert to fraction form
    287,356.26/396,582.80 = 158,307.96/x
  3. Step 3: Cross multiply
    287,356.26x = 396,582.80 × 158,307.96
  4. Step 4: Simplify right side
    287,356.26x = 62,782,215,625.22
  5. Step 5: Solve for x
    x = 62,782,215,625.22/287,356.26
  6. Step 6: Final answer
    x = 218,482.15

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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.