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Finding the Fourth Proportional to 402,643.60, 603,965.40 and 269,933.20

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Solution

The fourth proportional to 402,643.60, 603,965.40 and 269,933.20 is: 404,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,643.60 : 603,965.40 = 269,933.20 : x
  2. Step 2: Convert to fraction form
    402,643.60/603,965.40 = 269,933.20/x
  3. Step 3: Cross multiply
    402,643.60x = 603,965.40 × 269,933.20
  4. Step 4: Simplify right side
    402,643.60x = 163,030,313,111.28
  5. Step 5: Solve for x
    x = 163,030,313,111.28/402,643.60
  6. Step 6: Final answer
    x = 404,899.80

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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.