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Finding the Fourth Proportional to 291,458.16, 437,253.12 and 89,072.64

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Solution

The fourth proportional to 291,458.16, 437,253.12 and 89,072.64 is: 133,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,458.16 : 437,253.12 = 89,072.64 : x
  2. Step 2: Convert to fraction form
    291,458.16/437,253.12 = 89,072.64/x
  3. Step 3: Cross multiply
    291,458.16x = 437,253.12 × 89,072.64
  4. Step 4: Simplify right side
    291,458.16x = 38,947,289,746.64
  5. Step 5: Solve for x
    x = 38,947,289,746.64/291,458.16
  6. Step 6: Final answer
    x = 133,629.09

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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.