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Finding the Fourth Proportional to 290,151.84, 435,177.60 and 76,921.16

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Solution

The fourth proportional to 290,151.84, 435,177.60 and 76,921.16 is: 115,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,151.84 : 435,177.60 = 76,921.16 : x
  2. Step 2: Convert to fraction form
    290,151.84/435,177.60 = 76,921.16/x
  3. Step 3: Cross multiply
    290,151.84x = 435,177.60 × 76,921.16
  4. Step 4: Simplify right side
    290,151.84x = 33,474,365,798.02
  5. Step 5: Solve for x
    x = 33,474,365,798.02/290,151.84
  6. Step 6: Final answer
    x = 115,368.44

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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.