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Finding the Fourth Proportional to 291,461.60, 437,386.80 and 133,608.80

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Solution

The fourth proportional to 291,461.60, 437,386.80 and 133,608.80 is: 200,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,461.60 : 437,386.80 = 133,608.80 : x
  2. Step 2: Convert to fraction form
    291,461.60/437,386.80 = 133,608.80/x
  3. Step 3: Cross multiply
    291,461.60x = 437,386.80 × 133,608.80
  4. Step 4: Simplify right side
    291,461.60x = 58,438,725,483.84
  5. Step 5: Solve for x
    x = 58,438,725,483.84/291,461.60
  6. Step 6: Final answer
    x = 200,502.31

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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.