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Finding the Fourth Proportional to 287,188.62, 430,783.05 and 129,232.56

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Solution

The fourth proportional to 287,188.62, 430,783.05 and 129,232.56 is: 193,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,188.62 : 430,783.05 = 129,232.56 : x
  2. Step 2: Convert to fraction form
    287,188.62/430,783.05 = 129,232.56/x
  3. Step 3: Cross multiply
    287,188.62x = 430,783.05 × 129,232.56
  4. Step 4: Simplify right side
    287,188.62x = 55,671,196,356.11
  5. Step 5: Solve for x
    x = 55,671,196,356.11/287,188.62
  6. Step 6: Final answer
    x = 193,848.89

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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.