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Finding the Fourth Proportional to 369,506.91, 509,919.67 and 199,741.04

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Solution

The fourth proportional to 369,506.91, 509,919.67 and 199,741.04 is: 275,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,506.91 : 509,919.67 = 199,741.04 : x
  2. Step 2: Convert to fraction form
    369,506.91/509,919.67 = 199,741.04/x
  3. Step 3: Cross multiply
    369,506.91x = 509,919.67 × 199,741.04
  4. Step 4: Simplify right side
    369,506.91x = 101,851,884,814.53
  5. Step 5: Solve for x
    x = 101,851,884,814.53/369,506.91
  6. Step 6: Final answer
    x = 275,642.70

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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.