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Finding the Fourth Proportional to 405,723.90, 608,643.45 and 125,211.90

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Solution

The fourth proportional to 405,723.90, 608,643.45 and 125,211.90 is: 187,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,723.90 : 608,643.45 = 125,211.90 : x
  2. Step 2: Convert to fraction form
    405,723.90/608,643.45 = 125,211.90/x
  3. Step 3: Cross multiply
    405,723.90x = 608,643.45 × 125,211.90
  4. Step 4: Simplify right side
    405,723.90x = 76,209,402,797.06
  5. Step 5: Solve for x
    x = 76,209,402,797.06/405,723.90
  6. Step 6: Final answer
    x = 187,835.63

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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.