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Finding the Fourth Proportional to 382,014.40, 573,021.60 and 315,529.60

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Solution

The fourth proportional to 382,014.40, 573,021.60 and 315,529.60 is: 473,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,014.40 : 573,021.60 = 315,529.60 : x
  2. Step 2: Convert to fraction form
    382,014.40/573,021.60 = 315,529.60/x
  3. Step 3: Cross multiply
    382,014.40x = 573,021.60 × 315,529.60
  4. Step 4: Simplify right side
    382,014.40x = 180,805,276,239.36
  5. Step 5: Solve for x
    x = 180,805,276,239.36/382,014.40
  6. Step 6: Final answer
    x = 473,294.40

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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.