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Finding the Fourth Proportional to 666,506, 919,778.28 and 364,700

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Solution

The fourth proportional to 666,506, 919,778.28 and 364,700 is: 503,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,506 : 919,778.28 = 364,700 : x
  2. Step 2: Convert to fraction form
    666,506/919,778.28 = 364,700/x
  3. Step 3: Cross multiply
    666,506x = 919,778.28 × 364,700
  4. Step 4: Simplify right side
    666,506x = 335,443,138,716
  5. Step 5: Solve for x
    x = 335,443,138,716/666,506
  6. Step 6: Final answer
    x = 503,286

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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.