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Finding the Fourth Proportional to 512,238.40, 767,896.80 and 325,153.60

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Solution

The fourth proportional to 512,238.40, 767,896.80 and 325,153.60 is: 487,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,238.40 : 767,896.80 = 325,153.60 : x
  2. Step 2: Convert to fraction form
    512,238.40/767,896.80 = 325,153.60/x
  3. Step 3: Cross multiply
    512,238.40x = 767,896.80 × 325,153.60
  4. Step 4: Simplify right side
    512,238.40x = 249,684,408,948.48
  5. Step 5: Solve for x
    x = 249,684,408,948.48/512,238.40
  6. Step 6: Final answer
    x = 487,437.90

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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.