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Finding the Fourth Proportional to 401,038.40, 601,687.20 and 268,068.80

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Solution

The fourth proportional to 401,038.40, 601,687.20 and 268,068.80 is: 402,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038.40 : 601,687.20 = 268,068.80 : x
  2. Step 2: Convert to fraction form
    401,038.40/601,687.20 = 268,068.80/x
  3. Step 3: Cross multiply
    401,038.40x = 601,687.20 × 268,068.80
  4. Step 4: Simplify right side
    401,038.40x = 161,293,565,679.36
  5. Step 5: Solve for x
    x = 161,293,565,679.36/401,038.40
  6. Step 6: Final answer
    x = 402,189.83

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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.