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Finding the Fourth Proportional to 357,233, 492,981.54 and 198,257

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Solution

The fourth proportional to 357,233, 492,981.54 and 198,257 is: 273,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,233 : 492,981.54 = 198,257 : x
  2. Step 2: Convert to fraction form
    357,233/492,981.54 = 198,257/x
  3. Step 3: Cross multiply
    357,233x = 492,981.54 × 198,257
  4. Step 4: Simplify right side
    357,233x = 97,737,041,175.78
  5. Step 5: Solve for x
    x = 97,737,041,175.78/357,233
  6. Step 6: Final answer
    x = 273,594.66

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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.