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Finding the Fourth Proportional to 397,890.84, 549,072.54 and 216,599

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Solution

The fourth proportional to 397,890.84, 549,072.54 and 216,599 is: 298,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,890.84 : 549,072.54 = 216,599 : x
  2. Step 2: Convert to fraction form
    397,890.84/549,072.54 = 216,599/x
  3. Step 3: Cross multiply
    397,890.84x = 549,072.54 × 216,599
  4. Step 4: Simplify right side
    397,890.84x = 118,928,563,091.46
  5. Step 5: Solve for x
    x = 118,928,563,091.46/397,890.84
  6. Step 6: Final answer
    x = 298,897.46

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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.