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Finding the Fourth Proportional to 705,414, 973,478.46 and 383,130.42

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Solution

The fourth proportional to 705,414, 973,478.46 and 383,130.42 is: 528,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,414 : 973,478.46 = 383,130.42 : x
  2. Step 2: Convert to fraction form
    705,414/973,478.46 = 383,130.42/x
  3. Step 3: Cross multiply
    705,414x = 973,478.46 × 383,130.42
  4. Step 4: Simplify right side
    705,414x = 372,969,211,240.75
  5. Step 5: Solve for x
    x = 372,969,211,240.75/705,414
  6. Step 6: Final answer
    x = 528,723.86

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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.