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Finding the Fourth Proportional to 360,395.91, 497,356.74 and 199,261.36

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Solution

The fourth proportional to 360,395.91, 497,356.74 and 199,261.36 is: 274,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,395.91 : 497,356.74 = 199,261.36 : x
  2. Step 2: Convert to fraction form
    360,395.91/497,356.74 = 199,261.36/x
  3. Step 3: Cross multiply
    360,395.91x = 497,356.74 × 199,261.36
  4. Step 4: Simplify right side
    360,395.91x = 99,103,980,417.57
  5. Step 5: Solve for x
    x = 99,103,980,417.57/360,395.91
  6. Step 6: Final answer
    x = 274,986.42

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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.