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Finding the Fourth Proportional to 205,055.20, 307,582.80 and 189,308.80

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Solution

The fourth proportional to 205,055.20, 307,582.80 and 189,308.80 is: 283,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.20 : 307,582.80 = 189,308.80 : x
  2. Step 2: Convert to fraction form
    205,055.20/307,582.80 = 189,308.80/x
  3. Step 3: Cross multiply
    205,055.20x = 307,582.80 × 189,308.80
  4. Step 4: Simplify right side
    205,055.20x = 58,228,130,768.64
  5. Step 5: Solve for x
    x = 58,228,130,768.64/205,055.20
  6. Step 6: Final answer
    x = 283,963.20

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1.5x scale

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.