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Finding the Fourth Proportional to 287,393.02, 431,141.81 and 97,843.69

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Solution

The fourth proportional to 287,393.02, 431,141.81 and 97,843.69 is: 146,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,393.02 : 431,141.81 = 97,843.69 : x
  2. Step 2: Convert to fraction form
    287,393.02/431,141.81 = 97,843.69/x
  3. Step 3: Cross multiply
    287,393.02x = 431,141.81 × 97,843.69
  4. Step 4: Simplify right side
    287,393.02x = 42,184,505,603.68
  5. Step 5: Solve for x
    x = 42,184,505,603.68/287,393.02
  6. Step 6: Final answer
    x = 146,783.33

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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.