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Finding the Fourth Proportional to 658,170, 908,274.60 and 356,364

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Solution

The fourth proportional to 658,170, 908,274.60 and 356,364 is: 491,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,170 : 908,274.60 = 356,364 : x
  2. Step 2: Convert to fraction form
    658,170/908,274.60 = 356,364/x
  3. Step 3: Cross multiply
    658,170x = 908,274.60 × 356,364
  4. Step 4: Simplify right side
    658,170x = 323,676,369,554.40
  5. Step 5: Solve for x
    x = 323,676,369,554.40/658,170
  6. Step 6: Final answer
    x = 491,782.32

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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.