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Finding the Fourth Proportional to 702,305.83, 969,178.93 and 380,021.64

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Solution

The fourth proportional to 702,305.83, 969,178.93 and 380,021.64 is: 524,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,305.83 : 969,178.93 = 380,021.64 : x
  2. Step 2: Convert to fraction form
    702,305.83/969,178.93 = 380,021.64/x
  3. Step 3: Cross multiply
    702,305.83x = 969,178.93 × 380,021.64
  4. Step 4: Simplify right side
    702,305.83x = 368,308,966,432.05
  5. Step 5: Solve for x
    x = 368,308,966,432.05/702,305.83
  6. Step 6: Final answer
    x = 524,428.18

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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.