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Finding the Fourth Proportional to 667,253.46, 920,875.64 and 380,816.40

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Solution

The fourth proportional to 667,253.46, 920,875.64 and 380,816.40 is: 525,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,253.46 : 920,875.64 = 380,816.40 : x
  2. Step 2: Convert to fraction form
    667,253.46/920,875.64 = 380,816.40/x
  3. Step 3: Cross multiply
    667,253.46x = 920,875.64 × 380,816.40
  4. Step 4: Simplify right side
    667,253.46x = 350,684,546,072.50
  5. Step 5: Solve for x
    x = 350,684,546,072.50/667,253.46
  6. Step 6: Final answer
    x = 525,564.22

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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.