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Finding the Fourth Proportional to 315,419.85, 435,276.36 and 194,512.77

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Solution

The fourth proportional to 315,419.85, 435,276.36 and 194,512.77 is: 268,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,419.85 : 435,276.36 = 194,512.77 : x
  2. Step 2: Convert to fraction form
    315,419.85/435,276.36 = 194,512.77/x
  3. Step 3: Cross multiply
    315,419.85x = 435,276.36 × 194,512.77
  4. Step 4: Simplify right side
    315,419.85x = 84,666,810,499.12
  5. Step 5: Solve for x
    x = 84,666,810,499.12/315,419.85
  6. Step 6: Final answer
    x = 268,425.75

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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.