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Finding the Fourth Proportional to 509,141.70, 763,518.15 and 154,037.70

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Solution

The fourth proportional to 509,141.70, 763,518.15 and 154,037.70 is: 230,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,141.70 : 763,518.15 = 154,037.70 : x
  2. Step 2: Convert to fraction form
    509,141.70/763,518.15 = 154,037.70/x
  3. Step 3: Cross multiply
    509,141.70x = 763,518.15 × 154,037.70
  4. Step 4: Simplify right side
    509,141.70x = 117,610,579,734.26
  5. Step 5: Solve for x
    x = 117,610,579,734.26/509,141.70
  6. Step 6: Final answer
    x = 230,997.74

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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.