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Finding the Fourth Proportional to 290,356.62, 435,533.98 and 77,145.85

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Solution

The fourth proportional to 290,356.62, 435,533.98 and 77,145.85 is: 115,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,356.62 : 435,533.98 = 77,145.85 : x
  2. Step 2: Convert to fraction form
    290,356.62/435,533.98 = 77,145.85/x
  3. Step 3: Cross multiply
    290,356.62x = 435,533.98 × 77,145.85
  4. Step 4: Simplify right side
    290,356.62x = 33,599,639,090.98
  5. Step 5: Solve for x
    x = 33,599,639,090.98/290,356.62
  6. Step 6: Final answer
    x = 115,718.52

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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.