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Finding the Fourth Proportional to 361,283.64, 542,004.84 and 121,389

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Solution

The fourth proportional to 361,283.64, 542,004.84 and 121,389 is: 182,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,283.64 : 542,004.84 = 121,389 : x
  2. Step 2: Convert to fraction form
    361,283.64/542,004.84 = 121,389/x
  3. Step 3: Cross multiply
    361,283.64x = 542,004.84 × 121,389
  4. Step 4: Simplify right side
    361,283.64x = 65,793,425,522.76
  5. Step 5: Solve for x
    x = 65,793,425,522.76/361,283.64
  6. Step 6: Final answer
    x = 182,110.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.