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Finding the Fourth Proportional to 561,054.39, 842,106.47 and 277,065.61

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Solution

The fourth proportional to 561,054.39, 842,106.47 and 277,065.61 is: 415,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,054.39 : 842,106.47 = 277,065.61 : x
  2. Step 2: Convert to fraction form
    561,054.39/842,106.47 = 277,065.61/x
  3. Step 3: Cross multiply
    561,054.39x = 842,106.47 × 277,065.61
  4. Step 4: Simplify right side
    561,054.39x = 233,318,742,795.50
  5. Step 5: Solve for x
    x = 233,318,742,795.50/561,054.39
  6. Step 6: Final answer
    x = 415,857.62

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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.