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Finding the Fourth Proportional to 407,495.34, 611,162.15 and 205,037.46

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Solution

The fourth proportional to 407,495.34, 611,162.15 and 205,037.46 is: 307,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,495.34 : 611,162.15 = 205,037.46 : x
  2. Step 2: Convert to fraction form
    407,495.34/611,162.15 = 205,037.46/x
  3. Step 3: Cross multiply
    407,495.34x = 611,162.15 × 205,037.46
  4. Step 4: Simplify right side
    407,495.34x = 125,311,133,858.95
  5. Step 5: Solve for x
    x = 125,311,133,858.95/407,495.34
  6. Step 6: Final answer
    x = 307,515.50

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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.