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Finding the Fourth Proportional to 402,604.80, 603,908.64 and 122,124.48

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Solution

The fourth proportional to 402,604.80, 603,908.64 and 122,124.48 is: 183,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,604.80 : 603,908.64 = 122,124.48 : x
  2. Step 2: Convert to fraction form
    402,604.80/603,908.64 = 122,124.48/x
  3. Step 3: Cross multiply
    402,604.80x = 603,908.64 × 122,124.48
  4. Step 4: Simplify right side
    402,604.80x = 73,752,028,627.51
  5. Step 5: Solve for x
    x = 73,752,028,627.51/402,604.80
  6. Step 6: Final answer
    x = 183,187.16

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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.