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Finding the Fourth Proportional to 306,618, 459,927 and 85,002

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Solution

The fourth proportional to 306,618, 459,927 and 85,002 is: 127,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,618 : 459,927 = 85,002 : x
  2. Step 2: Convert to fraction form
    306,618/459,927 = 85,002/x
  3. Step 3: Cross multiply
    306,618x = 459,927 × 85,002
  4. Step 4: Simplify right side
    306,618x = 39,094,714,854
  5. Step 5: Solve for x
    x = 39,094,714,854/306,618
  6. Step 6: Final answer
    x = 127,503

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.