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Finding the Fourth Proportional to 533,121.84, 735,725.16 and 291,399.12

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Solution

The fourth proportional to 533,121.84, 735,725.16 and 291,399.12 is: 402,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,121.84 : 735,725.16 = 291,399.12 : x
  2. Step 2: Convert to fraction form
    533,121.84/735,725.16 = 291,399.12/x
  3. Step 3: Cross multiply
    533,121.84x = 735,725.16 × 291,399.12
  4. Step 4: Simplify right side
    533,121.84x = 214,389,664,185.86
  5. Step 5: Solve for x
    x = 214,389,664,185.86/533,121.84
  6. Step 6: Final answer
    x = 402,140.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.