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Finding the Fourth Proportional to 405,774.40, 608,331.84 and 169,293.28

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Solution

The fourth proportional to 405,774.40, 608,331.84 and 169,293.28 is: 253,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,774.40 : 608,331.84 = 169,293.28 : x
  2. Step 2: Convert to fraction form
    405,774.40/608,331.84 = 169,293.28/x
  3. Step 3: Cross multiply
    405,774.40x = 608,331.84 × 169,293.28
  4. Step 4: Simplify right side
    405,774.40x = 102,986,492,522.04
  5. Step 5: Solve for x
    x = 102,986,492,522.04/405,774.40
  6. Step 6: Final answer
    x = 253,802.34

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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.