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Finding the Fourth Proportional to 405,292.80, 607,939.68 and 105,773.16

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Solution

The fourth proportional to 405,292.80, 607,939.68 and 105,773.16 is: 158,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,292.80 : 607,939.68 = 105,773.16 : x
  2. Step 2: Convert to fraction form
    405,292.80/607,939.68 = 105,773.16/x
  3. Step 3: Cross multiply
    405,292.80x = 607,939.68 × 105,773.16
  4. Step 4: Simplify right side
    405,292.80x = 64,303,701,042.99
  5. Step 5: Solve for x
    x = 64,303,701,042.99/405,292.80
  6. Step 6: Final answer
    x = 158,659.87

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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.