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Finding the Fourth Proportional to 507,106.88, 699,785.86 and 277,660

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Solution

The fourth proportional to 507,106.88, 699,785.86 and 277,660 is: 383,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,106.88 : 699,785.86 = 277,660 : x
  2. Step 2: Convert to fraction form
    507,106.88/699,785.86 = 277,660/x
  3. Step 3: Cross multiply
    507,106.88x = 699,785.86 × 277,660
  4. Step 4: Simplify right side
    507,106.88x = 194,302,541,887.60
  5. Step 5: Solve for x
    x = 194,302,541,887.60/507,106.88
  6. Step 6: Final answer
    x = 383,158.95

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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.