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Finding the Fourth Proportional to 290,767, 436,150.50 and 77,535.64

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Solution

The fourth proportional to 290,767, 436,150.50 and 77,535.64 is: 116,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,767 : 436,150.50 = 77,535.64 : x
  2. Step 2: Convert to fraction form
    290,767/436,150.50 = 77,535.64/x
  3. Step 3: Cross multiply
    290,767x = 436,150.50 × 77,535.64
  4. Step 4: Simplify right side
    290,767x = 33,817,208,153.82
  5. Step 5: Solve for x
    x = 33,817,208,153.82/290,767
  6. Step 6: Final answer
    x = 116,303.46

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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.