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Finding the Fourth Proportional to 384,703.70, 577,055.55 and 218,815.70

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Solution

The fourth proportional to 384,703.70, 577,055.55 and 218,815.70 is: 328,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,703.70 : 577,055.55 = 218,815.70 : x
  2. Step 2: Convert to fraction form
    384,703.70/577,055.55 = 218,815.70/x
  3. Step 3: Cross multiply
    384,703.70x = 577,055.55 × 218,815.70
  4. Step 4: Simplify right side
    384,703.70x = 126,268,814,112.14
  5. Step 5: Solve for x
    x = 126,268,814,112.14/384,703.70
  6. Step 6: Final answer
    x = 328,223.55

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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.