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Finding the Fourth Proportional to 645,212, 890,392.56 and 362,588

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Solution

The fourth proportional to 645,212, 890,392.56 and 362,588 is: 500,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,212 : 890,392.56 = 362,588 : x
  2. Step 2: Convert to fraction form
    645,212/890,392.56 = 362,588/x
  3. Step 3: Cross multiply
    645,212x = 890,392.56 × 362,588
  4. Step 4: Simplify right side
    645,212x = 322,845,657,545.28
  5. Step 5: Solve for x
    x = 322,845,657,545.28/645,212
  6. Step 6: Final answer
    x = 500,371.44

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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.