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Finding the Fourth Proportional to 405,190.40, 608,332.80 and 236,883.20

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Solution

The fourth proportional to 405,190.40, 608,332.80 and 236,883.20 is: 355,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,190.40 : 608,332.80 = 236,883.20 : x
  2. Step 2: Convert to fraction form
    405,190.40/608,332.80 = 236,883.20/x
  3. Step 3: Cross multiply
    405,190.40x = 608,332.80 × 236,883.20
  4. Step 4: Simplify right side
    405,190.40x = 144,103,820,328.96
  5. Step 5: Solve for x
    x = 144,103,820,328.96/405,190.40
  6. Step 6: Final answer
    x = 355,644.71

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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.