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Finding the Fourth Proportional to 291,830.77, 437,759.58 and 89,412.38

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Solution

The fourth proportional to 291,830.77, 437,759.58 and 89,412.38 is: 134,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,830.77 : 437,759.58 = 89,412.38 : x
  2. Step 2: Convert to fraction form
    291,830.77/437,759.58 = 89,412.38/x
  3. Step 3: Cross multiply
    291,830.77x = 437,759.58 × 89,412.38
  4. Step 4: Simplify right side
    291,830.77x = 39,141,125,200.75
  5. Step 5: Solve for x
    x = 39,141,125,200.75/291,830.77
  6. Step 6: Final answer
    x = 134,122.68

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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.