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Finding the Fourth Proportional to 304,655.44, 420,409.56 and 168,685.60

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Solution

The fourth proportional to 304,655.44, 420,409.56 and 168,685.60 is: 232,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,655.44 : 420,409.56 = 168,685.60 : x
  2. Step 2: Convert to fraction form
    304,655.44/420,409.56 = 168,685.60/x
  3. Step 3: Cross multiply
    304,655.44x = 420,409.56 × 168,685.60
  4. Step 4: Simplify right side
    304,655.44x = 70,917,038,874.34
  5. Step 5: Solve for x
    x = 70,917,038,874.34/304,655.44
  6. Step 6: Final answer
    x = 232,777.85

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1.5x scale

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.