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Finding the Fourth Proportional to 728,980.92, 1,005,970.86 and 427,375.80

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Solution

The fourth proportional to 728,980.92, 1,005,970.86 and 427,375.80 is: 589,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,980.92 : 1,005,970.86 = 427,375.80 : x
  2. Step 2: Convert to fraction form
    728,980.92/1,005,970.86 = 427,375.80/x
  3. Step 3: Cross multiply
    728,980.92x = 1,005,970.86 × 427,375.80
  4. Step 4: Simplify right side
    728,980.92x = 429,927,601,069.19
  5. Step 5: Solve for x
    x = 429,927,601,069.19/728,980.92
  6. Step 6: Final answer
    x = 589,765.23

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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.