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Finding the Fourth Proportional to 462,915.98, 637,404.63 and 405,232.50

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Solution

The fourth proportional to 462,915.98, 637,404.63 and 405,232.50 is: 557,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,915.98 : 637,404.63 = 405,232.50 : x
  2. Step 2: Convert to fraction form
    462,915.98/637,404.63 = 405,232.50/x
  3. Step 3: Cross multiply
    462,915.98x = 637,404.63 × 405,232.50
  4. Step 4: Simplify right side
    462,915.98x = 258,297,072,597.12
  5. Step 5: Solve for x
    x = 258,297,072,597.12/462,915.98
  6. Step 6: Final answer
    x = 557,978.30

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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.