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Finding the Fourth Proportional to 601,356.62, 829,207.09 and 383,219.74

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Solution

The fourth proportional to 601,356.62, 829,207.09 and 383,219.74 is: 528,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,356.62 : 829,207.09 = 383,219.74 : x
  2. Step 2: Convert to fraction form
    601,356.62/829,207.09 = 383,219.74/x
  3. Step 3: Cross multiply
    601,356.62x = 829,207.09 × 383,219.74
  4. Step 4: Simplify right side
    601,356.62x = 317,768,525,435.96
  5. Step 5: Solve for x
    x = 317,768,525,435.96/601,356.62
  6. Step 6: Final answer
    x = 528,419.44

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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.