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Finding the Fourth Proportional to 294,459, 441,688.50 and 72,843

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Solution

The fourth proportional to 294,459, 441,688.50 and 72,843 is: 109,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,459 : 441,688.50 = 72,843 : x
  2. Step 2: Convert to fraction form
    294,459/441,688.50 = 72,843/x
  3. Step 3: Cross multiply
    294,459x = 441,688.50 × 72,843
  4. Step 4: Simplify right side
    294,459x = 32,173,915,405.50
  5. Step 5: Solve for x
    x = 32,173,915,405.50/294,459
  6. Step 6: Final answer
    x = 109,264.50

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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.