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Finding the Fourth Proportional to 445,072, 614,199.36 and 266,224

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Solution

The fourth proportional to 445,072, 614,199.36 and 266,224 is: 367,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,072 : 614,199.36 = 266,224 : x
  2. Step 2: Convert to fraction form
    445,072/614,199.36 = 266,224/x
  3. Step 3: Cross multiply
    445,072x = 614,199.36 × 266,224
  4. Step 4: Simplify right side
    445,072x = 163,514,610,416.64
  5. Step 5: Solve for x
    x = 163,514,610,416.64/445,072
  6. Step 6: Final answer
    x = 367,389.12

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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.