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Finding the Fourth Proportional to 312,255.40, 430,927.68 and 191,403.40

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Solution

The fourth proportional to 312,255.40, 430,927.68 and 191,403.40 is: 264,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,255.40 : 430,927.68 = 191,403.40 : x
  2. Step 2: Convert to fraction form
    312,255.40/430,927.68 = 191,403.40/x
  3. Step 3: Cross multiply
    312,255.40x = 430,927.68 × 191,403.40
  4. Step 4: Simplify right side
    312,255.40x = 82,481,023,106.11
  5. Step 5: Solve for x
    x = 82,481,023,106.11/312,255.40
  6. Step 6: Final answer
    x = 264,146.03

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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.