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Finding the Fourth Proportional to 287,415.14, 431,175.02 and 97,865.82

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Solution

The fourth proportional to 287,415.14, 431,175.02 and 97,865.82 is: 146,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,415.14 : 431,175.02 = 97,865.82 : x
  2. Step 2: Convert to fraction form
    287,415.14/431,175.02 = 97,865.82/x
  3. Step 3: Cross multiply
    287,415.14x = 431,175.02 × 97,865.82
  4. Step 4: Simplify right side
    287,415.14x = 42,197,296,406.49
  5. Step 5: Solve for x
    x = 42,197,296,406.49/287,415.14
  6. Step 6: Final answer
    x = 146,816.54

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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.