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Finding the Fourth Proportional to 397,547.96, 548,626.20 and 216,270.08

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Solution

The fourth proportional to 397,547.96, 548,626.20 and 216,270.08 is: 298,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,547.96 : 548,626.20 = 216,270.08 : x
  2. Step 2: Convert to fraction form
    397,547.96/548,626.20 = 216,270.08/x
  3. Step 3: Cross multiply
    397,547.96x = 548,626.20 × 216,270.08
  4. Step 4: Simplify right side
    397,547.96x = 118,651,432,164.10
  5. Step 5: Solve for x
    x = 118,651,432,164.10/397,547.96
  6. Step 6: Final answer
    x = 298,458.16

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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.