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Finding the Fourth Proportional to 462,560.80, 638,441.76 and 301,136.08

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Solution

The fourth proportional to 462,560.80, 638,441.76 and 301,136.08 is: 415,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,560.80 : 638,441.76 = 301,136.08 : x
  2. Step 2: Convert to fraction form
    462,560.80/638,441.76 = 301,136.08/x
  3. Step 3: Cross multiply
    462,560.80x = 638,441.76 × 301,136.08
  4. Step 4: Simplify right side
    462,560.80x = 192,257,848,914.70
  5. Step 5: Solve for x
    x = 192,257,848,914.70/462,560.80
  6. Step 6: Final answer
    x = 415,638.01

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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.