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Finding the Fourth Proportional to 407,103, 561,802.38 and 248,127

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Solution

The fourth proportional to 407,103, 561,802.38 and 248,127 is: 342,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,103 : 561,802.38 = 248,127 : x
  2. Step 2: Convert to fraction form
    407,103/561,802.38 = 248,127/x
  3. Step 3: Cross multiply
    407,103x = 561,802.38 × 248,127
  4. Step 4: Simplify right side
    407,103x = 139,398,339,142.26
  5. Step 5: Solve for x
    x = 139,398,339,142.26/407,103
  6. Step 6: Final answer
    x = 342,415.41

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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.