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Finding the Fourth Proportional to 287,176.51, 430,754.10 and 116,392.33

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Solution

The fourth proportional to 287,176.51, 430,754.10 and 116,392.33 is: 174,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,176.51 : 430,754.10 = 116,392.33 : x
  2. Step 2: Convert to fraction form
    287,176.51/430,754.10 = 116,392.33/x
  3. Step 3: Cross multiply
    287,176.51x = 430,754.10 × 116,392.33
  4. Step 4: Simplify right side
    287,176.51x = 50,136,473,356.05
  5. Step 5: Solve for x
    x = 50,136,473,356.05/287,176.51
  6. Step 6: Final answer
    x = 174,584.17

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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.