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Finding the Fourth Proportional to 238,242, 328,771.64 and 130,811.08

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Solution

The fourth proportional to 238,242, 328,771.64 and 130,811.08 is: 180,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,242 : 328,771.64 = 130,811.08 : x
  2. Step 2: Convert to fraction form
    238,242/328,771.64 = 130,811.08/x
  3. Step 3: Cross multiply
    238,242x = 328,771.64 × 130,811.08
  4. Step 4: Simplify right side
    238,242x = 43,006,973,301.77
  5. Step 5: Solve for x
    x = 43,006,973,301.77/238,242
  6. Step 6: Final answer
    x = 180,518.02

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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.