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Finding the Fourth Proportional to 666,684.81, 920,047.01 and 364,878.81

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Solution

The fourth proportional to 666,684.81, 920,047.01 and 364,878.81 is: 503,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,684.81 : 920,047.01 = 364,878.81 : x
  2. Step 2: Convert to fraction form
    666,684.81/920,047.01 = 364,878.81/x
  3. Step 3: Cross multiply
    666,684.81x = 920,047.01 × 364,878.81
  4. Step 4: Simplify right side
    666,684.81x = 335,705,656,328.46
  5. Step 5: Solve for x
    x = 335,705,656,328.46/666,684.81
  6. Step 6: Final answer
    x = 503,544.78

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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.