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Finding the Fourth Proportional to 287,188.70, 430,869.45 and 154,132.70

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Solution

The fourth proportional to 287,188.70, 430,869.45 and 154,132.70 is: 231,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,188.70 : 430,869.45 = 154,132.70 : x
  2. Step 2: Convert to fraction form
    287,188.70/430,869.45 = 154,132.70/x
  3. Step 3: Cross multiply
    287,188.70x = 430,869.45 × 154,132.70
  4. Step 4: Simplify right side
    287,188.70x = 66,411,071,676.02
  5. Step 5: Solve for x
    x = 66,411,071,676.02/287,188.70
  6. Step 6: Final answer
    x = 231,245.42

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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.