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Finding the Fourth Proportional to 287,252.40, 430,878.60 and 76,890.34

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Solution

The fourth proportional to 287,252.40, 430,878.60 and 76,890.34 is: 115,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,252.40 : 430,878.60 = 76,890.34 : x
  2. Step 2: Convert to fraction form
    287,252.40/430,878.60 = 76,890.34/x
  3. Step 3: Cross multiply
    287,252.40x = 430,878.60 × 76,890.34
  4. Step 4: Simplify right side
    287,252.40x = 33,130,400,975.53
  5. Step 5: Solve for x
    x = 33,130,400,975.53/287,252.40
  6. Step 6: Final answer
    x = 115,335.51

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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.