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Finding the Fourth Proportional to 290,963.06, 436,430.54 and 101,415.78

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Solution

The fourth proportional to 290,963.06, 436,430.54 and 101,415.78 is: 152,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,963.06 : 436,430.54 = 101,415.78 : x
  2. Step 2: Convert to fraction form
    290,963.06/436,430.54 = 101,415.78/x
  3. Step 3: Cross multiply
    290,963.06x = 436,430.54 × 101,415.78
  4. Step 4: Simplify right side
    290,963.06x = 44,260,943,629.92
  5. Step 5: Solve for x
    x = 44,260,943,629.92/290,963.06
  6. Step 6: Final answer
    x = 152,118.77

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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.