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Finding the Fourth Proportional to 405,983.40, 608,715.90 and 169,420.20

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Solution

The fourth proportional to 405,983.40, 608,715.90 and 169,420.20 is: 254,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,983.40 : 608,715.90 = 169,420.20 : x
  2. Step 2: Convert to fraction form
    405,983.40/608,715.90 = 169,420.20/x
  3. Step 3: Cross multiply
    405,983.40x = 608,715.90 × 169,420.20
  4. Step 4: Simplify right side
    405,983.40x = 103,128,769,521.18
  5. Step 5: Solve for x
    x = 103,128,769,521.18/405,983.40
  6. Step 6: Final answer
    x = 254,022.13

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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.