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Finding the Fourth Proportional to 397,389.71, 548,412.18 and 227,656.64

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Solution

The fourth proportional to 397,389.71, 548,412.18 and 227,656.64 is: 314,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,389.71 : 548,412.18 = 227,656.64 : x
  2. Step 2: Convert to fraction form
    397,389.71/548,412.18 = 227,656.64/x
  3. Step 3: Cross multiply
    397,389.71x = 548,412.18 × 227,656.64
  4. Step 4: Simplify right side
    397,389.71x = 124,849,674,233.88
  5. Step 5: Solve for x
    x = 124,849,674,233.88/397,389.71
  6. Step 6: Final answer
    x = 314,174.40

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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.