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Finding the Fourth Proportional to 287,969.58, 432,018.36 and 110,476.71

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Solution

The fourth proportional to 287,969.58, 432,018.36 and 110,476.71 is: 165,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,969.58 : 432,018.36 = 110,476.71 : x
  2. Step 2: Convert to fraction form
    287,969.58/432,018.36 = 110,476.71/x
  3. Step 3: Cross multiply
    287,969.58x = 432,018.36 × 110,476.71
  4. Step 4: Simplify right side
    287,969.58x = 47,727,967,072.40
  5. Step 5: Solve for x
    x = 47,727,967,072.40/287,969.58
  6. Step 6: Final answer
    x = 165,739.61

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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.