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Finding the Fourth Proportional to 287,893.65, 431,895.83 and 110,386.82

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Solution

The fourth proportional to 287,893.65, 431,895.83 and 110,386.82 is: 165,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.65 : 431,895.83 = 110,386.82 : x
  2. Step 2: Convert to fraction form
    287,893.65/431,895.83 = 110,386.82/x
  3. Step 3: Cross multiply
    287,893.65x = 431,895.83 × 110,386.82
  4. Step 4: Simplify right side
    287,893.65x = 47,675,604,533.55
  5. Step 5: Solve for x
    x = 47,675,604,533.55/287,893.65
  6. Step 6: Final answer
    x = 165,601.45

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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.