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Finding the Fourth Proportional to 360,439.47, 497,368.40 and 199,268.51

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Solution

The fourth proportional to 360,439.47, 497,368.40 and 199,268.51 is: 274,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,439.47 : 497,368.40 = 199,268.51 : x
  2. Step 2: Convert to fraction form
    360,439.47/497,368.40 = 199,268.51/x
  3. Step 3: Cross multiply
    360,439.47x = 497,368.40 × 199,268.51
  4. Step 4: Simplify right side
    360,439.47x = 99,109,856,505.90
  5. Step 5: Solve for x
    x = 99,109,856,505.90/360,439.47
  6. Step 6: Final answer
    x = 274,969.49

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1.5x scale

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.