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Finding the Fourth Proportional to 407,511.61, 611,238.56 and 107,985.56

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Solution

The fourth proportional to 407,511.61, 611,238.56 and 107,985.56 is: 161,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,511.61 : 611,238.56 = 107,985.56 : x
  2. Step 2: Convert to fraction form
    407,511.61/611,238.56 = 107,985.56/x
  3. Step 3: Cross multiply
    407,511.61x = 611,238.56 × 107,985.56
  4. Step 4: Simplify right side
    407,511.61x = 66,004,934,599.07
  5. Step 5: Solve for x
    x = 66,004,934,599.07/407,511.61
  6. Step 6: Final answer
    x = 161,970.69

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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.