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Finding the Fourth Proportional to 287,739.51, 397,071.84 and 158,677.92

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Solution

The fourth proportional to 287,739.51, 397,071.84 and 158,677.92 is: 218,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,739.51 : 397,071.84 = 158,677.92 : x
  2. Step 2: Convert to fraction form
    287,739.51/397,071.84 = 158,677.92/x
  3. Step 3: Cross multiply
    287,739.51x = 397,071.84 × 158,677.92
  4. Step 4: Simplify right side
    287,739.51x = 63,006,533,265.08
  5. Step 5: Solve for x
    x = 63,006,533,265.08/287,739.51
  6. Step 6: Final answer
    x = 218,970.74

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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.