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Finding the Fourth Proportional to 405,389.72, 559,444.62 and 235,623.84

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Solution

The fourth proportional to 405,389.72, 559,444.62 and 235,623.84 is: 325,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,389.72 : 559,444.62 = 235,623.84 : x
  2. Step 2: Convert to fraction form
    405,389.72/559,444.62 = 235,623.84/x
  3. Step 3: Cross multiply
    405,389.72x = 559,444.62 × 235,623.84
  4. Step 4: Simplify right side
    405,389.72x = 131,818,489,631.74
  5. Step 5: Solve for x
    x = 131,818,489,631.74/405,389.72
  6. Step 6: Final answer
    x = 325,164.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.