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Finding the Fourth Proportional to 287,119.69, 430,646.70 and 76,774.03

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Solution

The fourth proportional to 287,119.69, 430,646.70 and 76,774.03 is: 115,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,119.69 : 430,646.70 = 76,774.03 : x
  2. Step 2: Convert to fraction form
    287,119.69/430,646.70 = 76,774.03/x
  3. Step 3: Cross multiply
    287,119.69x = 430,646.70 × 76,774.03
  4. Step 4: Simplify right side
    287,119.69x = 33,062,481,876.49
  5. Step 5: Solve for x
    x = 33,062,481,876.49/287,119.69
  6. Step 6: Final answer
    x = 115,152.26

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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.