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Finding the Fourth Proportional to 645,204, 890,381.52 and 362,580

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Solution

The fourth proportional to 645,204, 890,381.52 and 362,580 is: 500,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,204 : 890,381.52 = 362,580 : x
  2. Step 2: Convert to fraction form
    645,204/890,381.52 = 362,580/x
  3. Step 3: Cross multiply
    645,204x = 890,381.52 × 362,580
  4. Step 4: Simplify right side
    645,204x = 322,834,531,521.60
  5. Step 5: Solve for x
    x = 322,834,531,521.60/645,204
  6. Step 6: Final answer
    x = 500,360.40

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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.