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Finding the Fourth Proportional to 397,585.83, 548,655.94 and 216,293.11

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Solution

The fourth proportional to 397,585.83, 548,655.94 and 216,293.11 is: 298,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,585.83 : 548,655.94 = 216,293.11 : x
  2. Step 2: Convert to fraction form
    397,585.83/548,655.94 = 216,293.11/x
  3. Step 3: Cross multiply
    397,585.83x = 548,655.94 × 216,293.11
  4. Step 4: Simplify right side
    397,585.83x = 118,670,499,041.84
  5. Step 5: Solve for x
    x = 118,670,499,041.84/397,585.83
  6. Step 6: Final answer
    x = 298,477.69

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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.