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Finding the Fourth Proportional to 290,005.77, 434,904.77 and 100,415.19

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Solution

The fourth proportional to 290,005.77, 434,904.77 and 100,415.19 is: 150,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,005.77 : 434,904.77 = 100,415.19 : x
  2. Step 2: Convert to fraction form
    290,005.77/434,904.77 = 100,415.19/x
  3. Step 3: Cross multiply
    290,005.77x = 434,904.77 × 100,415.19
  4. Step 4: Simplify right side
    290,005.77x = 43,671,046,710.97
  5. Step 5: Solve for x
    x = 43,671,046,710.97/290,005.77
  6. Step 6: Final answer
    x = 150,586.82

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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.