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Finding the Fourth Proportional to 309,613.74, 427,085.49 and 194,710.13

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Solution

The fourth proportional to 309,613.74, 427,085.49 and 194,710.13 is: 268,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,613.74 : 427,085.49 = 194,710.13 : x
  2. Step 2: Convert to fraction form
    309,613.74/427,085.49 = 194,710.13/x
  3. Step 3: Cross multiply
    309,613.74x = 427,085.49 × 194,710.13
  4. Step 4: Simplify right side
    309,613.74x = 83,157,869,143.59
  5. Step 5: Solve for x
    x = 83,157,869,143.59/309,613.74
  6. Step 6: Final answer
    x = 268,585.85

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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.