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Finding the Fourth Proportional to 331,346, 457,300.68 and 197,210

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Solution

The fourth proportional to 331,346, 457,300.68 and 197,210 is: 272,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346 : 457,300.68 = 197,210 : x
  2. Step 2: Convert to fraction form
    331,346/457,300.68 = 197,210/x
  3. Step 3: Cross multiply
    331,346x = 457,300.68 × 197,210
  4. Step 4: Simplify right side
    331,346x = 90,184,267,102.80
  5. Step 5: Solve for x
    x = 90,184,267,102.80/331,346
  6. Step 6: Final answer
    x = 272,175.51

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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.