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Finding the Fourth Proportional to 405,967.77, 609,008.15 and 169,256.00

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Solution

The fourth proportional to 405,967.77, 609,008.15 and 169,256.00 is: 253,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,967.77 : 609,008.15 = 169,256.00 : x
  2. Step 2: Convert to fraction form
    405,967.77/609,008.15 = 169,256.00/x
  3. Step 3: Cross multiply
    405,967.77x = 609,008.15 × 169,256.00
  4. Step 4: Simplify right side
    405,967.77x = 103,078,285,382.06
  5. Step 5: Solve for x
    x = 103,078,285,382.06/405,967.77
  6. Step 6: Final answer
    x = 253,907.56

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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.