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Finding the Fourth Proportional to 287,869.60, 431,804.40 and 100,856.80

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Solution

The fourth proportional to 287,869.60, 431,804.40 and 100,856.80 is: 151,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,869.60 : 431,804.40 = 100,856.80 : x
  2. Step 2: Convert to fraction form
    287,869.60/431,804.40 = 100,856.80/x
  3. Step 3: Cross multiply
    287,869.60x = 431,804.40 × 100,856.80
  4. Step 4: Simplify right side
    287,869.60x = 43,550,410,009.92
  5. Step 5: Solve for x
    x = 43,550,410,009.92/287,869.60
  6. Step 6: Final answer
    x = 151,285.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.