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Finding the Fourth Proportional to 312,973.14, 469,459.71 and 146,722.26

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Solution

The fourth proportional to 312,973.14, 469,459.71 and 146,722.26 is: 220,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,973.14 : 469,459.71 = 146,722.26 : x
  2. Step 2: Convert to fraction form
    312,973.14/469,459.71 = 146,722.26/x
  3. Step 3: Cross multiply
    312,973.14x = 469,459.71 × 146,722.26
  4. Step 4: Simplify right side
    312,973.14x = 68,880,189,630.14
  5. Step 5: Solve for x
    x = 68,880,189,630.14/312,973.14
  6. Step 6: Final answer
    x = 220,083.39

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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.