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Finding the Fourth Proportional to 397,970.82, 549,194.58 and 216,680.67

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Solution

The fourth proportional to 397,970.82, 549,194.58 and 216,680.67 is: 299,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,970.82 : 549,194.58 = 216,680.67 : x
  2. Step 2: Convert to fraction form
    397,970.82/549,194.58 = 216,680.67/x
  3. Step 3: Cross multiply
    397,970.82x = 549,194.58 × 216,680.67
  4. Step 4: Simplify right side
    397,970.82x = 118,999,849,554.77
  5. Step 5: Solve for x
    x = 118,999,849,554.77/397,970.82
  6. Step 6: Final answer
    x = 299,016.52

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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.