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Finding the Fourth Proportional to 291,407.38, 436,804.86 and 133,505.98

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Solution

The fourth proportional to 291,407.38, 436,804.86 and 133,505.98 is: 200,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,407.38 : 436,804.86 = 133,505.98 : x
  2. Step 2: Convert to fraction form
    291,407.38/436,804.86 = 133,505.98/x
  3. Step 3: Cross multiply
    291,407.38x = 436,804.86 × 133,505.98
  4. Step 4: Simplify right side
    291,407.38x = 58,316,060,903.06
  5. Step 5: Solve for x
    x = 58,316,060,903.06/291,407.38
  6. Step 6: Final answer
    x = 200,118.68

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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.