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Finding the Fourth Proportional to 462,495.54, 638,346.72 and 281,169

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Solution

The fourth proportional to 462,495.54, 638,346.72 and 281,169 is: 388,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,495.54 : 638,346.72 = 281,169 : x
  2. Step 2: Convert to fraction form
    462,495.54/638,346.72 = 281,169/x
  3. Step 3: Cross multiply
    462,495.54x = 638,346.72 × 281,169
  4. Step 4: Simplify right side
    462,495.54x = 179,483,308,915.68
  5. Step 5: Solve for x
    x = 179,483,308,915.68/462,495.54
  6. Step 6: Final answer
    x = 388,075.76

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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.