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Finding the Fourth Proportional to 287,355.60, 431,033.40 and 74,123.10

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Solution

The fourth proportional to 287,355.60, 431,033.40 and 74,123.10 is: 111,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,355.60 : 431,033.40 = 74,123.10 : x
  2. Step 2: Convert to fraction form
    287,355.60/431,033.40 = 74,123.10/x
  3. Step 3: Cross multiply
    287,355.60x = 431,033.40 × 74,123.10
  4. Step 4: Simplify right side
    287,355.60x = 31,949,531,811.54
  5. Step 5: Solve for x
    x = 31,949,531,811.54/287,355.60
  6. Step 6: Final answer
    x = 111,184.65

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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.