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Finding the Fourth Proportional to 287,384.40, 430,861.68 and 198,383.76

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Solution

The fourth proportional to 287,384.40, 430,861.68 and 198,383.76 is: 297,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,384.40 : 430,861.68 = 198,383.76 : x
  2. Step 2: Convert to fraction form
    287,384.40/430,861.68 = 198,383.76/x
  3. Step 3: Cross multiply
    287,384.40x = 430,861.68 × 198,383.76
  4. Step 4: Simplify right side
    287,384.40x = 85,475,960,118.32
  5. Step 5: Solve for x
    x = 85,475,960,118.32/287,384.40
  6. Step 6: Final answer
    x = 297,427.28

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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.