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Finding the Fourth Proportional to 397,807.47, 548,987.85 and 216,526.05

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Solution

The fourth proportional to 397,807.47, 548,987.85 and 216,526.05 is: 298,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,807.47 : 548,987.85 = 216,526.05 : x
  2. Step 2: Convert to fraction form
    397,807.47/548,987.85 = 216,526.05/x
  3. Step 3: Cross multiply
    397,807.47x = 548,987.85 × 216,526.05
  4. Step 4: Simplify right side
    397,807.47x = 118,870,170,658.49
  5. Step 5: Solve for x
    x = 118,870,170,658.49/397,807.47
  6. Step 6: Final answer
    x = 298,813.32

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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.