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Finding the Fourth Proportional to 519,325.40, 778,907.10 and 164,426.60

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Solution

The fourth proportional to 519,325.40, 778,907.10 and 164,426.60 is: 246,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,325.40 : 778,907.10 = 164,426.60 : x
  2. Step 2: Convert to fraction form
    519,325.40/778,907.10 = 164,426.60/x
  3. Step 3: Cross multiply
    519,325.40x = 778,907.10 × 164,426.60
  4. Step 4: Simplify right side
    519,325.40x = 128,073,046,168.86
  5. Step 5: Solve for x
    x = 128,073,046,168.86/519,325.40
  6. Step 6: Final answer
    x = 246,614.25

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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.