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Finding the Fourth Proportional to 290,790.66, 436,206.72 and 77,557.36

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Solution

The fourth proportional to 290,790.66, 436,206.72 and 77,557.36 is: 116,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,790.66 : 436,206.72 = 77,557.36 : x
  2. Step 2: Convert to fraction form
    290,790.66/436,206.72 = 77,557.36/x
  3. Step 3: Cross multiply
    290,790.66x = 436,206.72 × 77,557.36
  4. Step 4: Simplify right side
    290,790.66x = 33,831,041,812.83
  5. Step 5: Solve for x
    x = 33,831,041,812.83/290,790.66
  6. Step 6: Final answer
    x = 116,341.57

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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.