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Finding the Fourth Proportional to 405,965.80, 608,948.70 and 125,511.40

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Solution

The fourth proportional to 405,965.80, 608,948.70 and 125,511.40 is: 188,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,965.80 : 608,948.70 = 125,511.40 : x
  2. Step 2: Convert to fraction form
    405,965.80/608,948.70 = 125,511.40/x
  3. Step 3: Cross multiply
    405,965.80x = 608,948.70 × 125,511.40
  4. Step 4: Simplify right side
    405,965.80x = 76,430,003,865.18
  5. Step 5: Solve for x
    x = 76,430,003,865.18/405,965.80
  6. Step 6: Final answer
    x = 188,267.10

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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.