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Finding the Fourth Proportional to 410,054.36, 615,171.65 and 125,783.91

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Solution

The fourth proportional to 410,054.36, 615,171.65 and 125,783.91 is: 188,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,054.36 : 615,171.65 = 125,783.91 : x
  2. Step 2: Convert to fraction form
    410,054.36/615,171.65 = 125,783.91/x
  3. Step 3: Cross multiply
    410,054.36x = 615,171.65 × 125,783.91
  4. Step 4: Simplify right side
    410,054.36x = 77,378,694,829.23
  5. Step 5: Solve for x
    x = 77,378,694,829.23/410,054.36
  6. Step 6: Final answer
    x = 188,703.51

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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.