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Finding the Fourth Proportional to 264,618, 365,172.84 and 145,386

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Solution

The fourth proportional to 264,618, 365,172.84 and 145,386 is: 200,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,618 : 365,172.84 = 145,386 : x
  2. Step 2: Convert to fraction form
    264,618/365,172.84 = 145,386/x
  3. Step 3: Cross multiply
    264,618x = 365,172.84 × 145,386
  4. Step 4: Simplify right side
    264,618x = 53,091,018,516.24
  5. Step 5: Solve for x
    x = 53,091,018,516.24/264,618
  6. Step 6: Final answer
    x = 200,632.68

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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.