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Finding the Fourth Proportional to 238,345, 328,911.48 and 130,912.54

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Solution

The fourth proportional to 238,345, 328,911.48 and 130,912.54 is: 180,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,345 : 328,911.48 = 130,912.54 : x
  2. Step 2: Convert to fraction form
    238,345/328,911.48 = 130,912.54/x
  3. Step 3: Cross multiply
    238,345x = 328,911.48 × 130,912.54
  4. Step 4: Simplify right side
    238,345x = 43,058,637,281.96
  5. Step 5: Solve for x
    x = 43,058,637,281.96/238,345
  6. Step 6: Final answer
    x = 180,656.77

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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.