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Finding the Fourth Proportional to 289,866.41, 434,829.40 and 100,326.46

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Solution

The fourth proportional to 289,866.41, 434,829.40 and 100,326.46 is: 150,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,866.41 : 434,829.40 = 100,326.46 : x
  2. Step 2: Convert to fraction form
    289,866.41/434,829.40 = 100,326.46/x
  3. Step 3: Cross multiply
    289,866.41x = 434,829.40 × 100,326.46
  4. Step 4: Simplify right side
    289,866.41x = 43,624,896,078.29
  5. Step 5: Solve for x
    x = 43,624,896,078.29/289,866.41
  6. Step 6: Final answer
    x = 150,500.01

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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.