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Finding the Fourth Proportional to 405,969.30, 560,157.93 and 231,514.74

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Solution

The fourth proportional to 405,969.30, 560,157.93 and 231,514.74 is: 319,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969.30 : 560,157.93 = 231,514.74 : x
  2. Step 2: Convert to fraction form
    405,969.30/560,157.93 = 231,514.74/x
  3. Step 3: Cross multiply
    405,969.30x = 560,157.93 × 231,514.74
  4. Step 4: Simplify right side
    405,969.30x = 129,684,817,522.89
  5. Step 5: Solve for x
    x = 129,684,817,522.89/405,969.30
  6. Step 6: Final answer
    x = 319,444.89

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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.