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Finding the Fourth Proportional to 333,480, 500,268.08 and 108,784.84

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Solution

The fourth proportional to 333,480, 500,268.08 and 108,784.84 is: 163,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,480 : 500,268.08 = 108,784.84 : x
  2. Step 2: Convert to fraction form
    333,480/500,268.08 = 108,784.84/x
  3. Step 3: Cross multiply
    333,480x = 500,268.08 × 108,784.84
  4. Step 4: Simplify right side
    333,480x = 54,421,583,039.91
  5. Step 5: Solve for x
    x = 54,421,583,039.91/333,480
  6. Step 6: Final answer
    x = 163,192.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.