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Finding the Fourth Proportional to 312,592.94, 431,354.42 and 190,068.30

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Solution

The fourth proportional to 312,592.94, 431,354.42 and 190,068.30 is: 262,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,592.94 : 431,354.42 = 190,068.30 : x
  2. Step 2: Convert to fraction form
    312,592.94/431,354.42 = 190,068.30/x
  3. Step 3: Cross multiply
    312,592.94x = 431,354.42 × 190,068.30
  4. Step 4: Simplify right side
    312,592.94x = 81,986,801,069.30
  5. Step 5: Solve for x
    x = 81,986,801,069.30/312,592.94
  6. Step 6: Final answer
    x = 262,279.76

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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.