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Finding the Fourth Proportional to 301,096.40, 415,483.08 and 173,813

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Solution

The fourth proportional to 301,096.40, 415,483.08 and 173,813 is: 239,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,096.40 : 415,483.08 = 173,813 : x
  2. Step 2: Convert to fraction form
    301,096.40/415,483.08 = 173,813/x
  3. Step 3: Cross multiply
    301,096.40x = 415,483.08 × 173,813
  4. Step 4: Simplify right side
    301,096.40x = 72,216,360,584.04
  5. Step 5: Solve for x
    x = 72,216,360,584.04/301,096.40
  6. Step 6: Final answer
    x = 239,844.65

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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.