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Finding the Fourth Proportional to 553,489.20, 763,758.72 and 311,733.36

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Solution

The fourth proportional to 553,489.20, 763,758.72 and 311,733.36 is: 430,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,489.20 : 763,758.72 = 311,733.36 : x
  2. Step 2: Convert to fraction form
    553,489.20/763,758.72 = 311,733.36/x
  3. Step 3: Cross multiply
    553,489.20x = 763,758.72 × 311,733.36
  4. Step 4: Simplify right side
    553,489.20x = 238,089,072,014.90
  5. Step 5: Solve for x
    x = 238,089,072,014.90/553,489.20
  6. Step 6: Final answer
    x = 430,160.28

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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.