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Finding the Fourth Proportional to 316,380.91, 436,809.42 and 282,330.84

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Solution

The fourth proportional to 316,380.91, 436,809.42 and 282,330.84 is: 389,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,380.91 : 436,809.42 = 282,330.84 : x
  2. Step 2: Convert to fraction form
    316,380.91/436,809.42 = 282,330.84/x
  3. Step 3: Cross multiply
    316,380.91x = 436,809.42 × 282,330.84
  4. Step 4: Simplify right side
    316,380.91x = 123,324,768,830.48
  5. Step 5: Solve for x
    x = 123,324,768,830.48/316,380.91
  6. Step 6: Final answer
    x = 389,798.39

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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.