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Finding the Fourth Proportional to 462,522.95, 638,478.42 and 281,293.10

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Solution

The fourth proportional to 462,522.95, 638,478.42 and 281,293.10 is: 388,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,522.95 : 638,478.42 = 281,293.10 : x
  2. Step 2: Convert to fraction form
    462,522.95/638,478.42 = 281,293.10/x
  3. Step 3: Cross multiply
    462,522.95x = 638,478.42 × 281,293.10
  4. Step 4: Simplify right side
    462,522.95x = 179,599,571,907.36
  5. Step 5: Solve for x
    x = 179,599,571,907.36/462,522.95
  6. Step 6: Final answer
    x = 388,304.13

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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.