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Finding the Fourth Proportional to 469,689, 648,172.44 and 254,830.02

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Solution

The fourth proportional to 469,689, 648,172.44 and 254,830.02 is: 351,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,689 : 648,172.44 = 254,830.02 : x
  2. Step 2: Convert to fraction form
    469,689/648,172.44 = 254,830.02/x
  3. Step 3: Cross multiply
    469,689x = 648,172.44 × 254,830.02
  4. Step 4: Simplify right side
    469,689x = 165,173,795,848.65
  5. Step 5: Solve for x
    x = 165,173,795,848.65/469,689
  6. Step 6: Final answer
    x = 351,666.31

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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.