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Finding the Fourth Proportional to 519,271.80, 778,980.60 and 164,248.80

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Solution

The fourth proportional to 519,271.80, 778,980.60 and 164,248.80 is: 246,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,271.80 : 778,980.60 = 164,248.80 : x
  2. Step 2: Convert to fraction form
    519,271.80/778,980.60 = 164,248.80/x
  3. Step 3: Cross multiply
    519,271.80x = 778,980.60 × 164,248.80
  4. Step 4: Simplify right side
    519,271.80x = 127,946,628,773.28
  5. Step 5: Solve for x
    x = 127,946,628,773.28/519,271.80
  6. Step 6: Final answer
    x = 246,396.26

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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.