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Finding the Fourth Proportional to 517,867.04, 777,284.40 and 268,724

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Solution

The fourth proportional to 517,867.04, 777,284.40 and 268,724 is: 403,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,867.04 : 777,284.40 = 268,724 : x
  2. Step 2: Convert to fraction form
    517,867.04/777,284.40 = 268,724/x
  3. Step 3: Cross multiply
    517,867.04x = 777,284.40 × 268,724
  4. Step 4: Simplify right side
    517,867.04x = 208,874,973,105.60
  5. Step 5: Solve for x
    x = 208,874,973,105.60/517,867.04
  6. Step 6: Final answer
    x = 403,337.07

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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.