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Finding the Fourth Proportional to 702,412.91, 969,326.24 and 380,123.08

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Solution

The fourth proportional to 702,412.91, 969,326.24 and 380,123.08 is: 524,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,412.91 : 969,326.24 = 380,123.08 : x
  2. Step 2: Convert to fraction form
    702,412.91/969,326.24 = 380,123.08/x
  3. Step 3: Cross multiply
    702,412.91x = 969,326.24 × 380,123.08
  4. Step 4: Simplify right side
    702,412.91x = 368,463,273,687.88
  5. Step 5: Solve for x
    x = 368,463,273,687.88/702,412.91
  6. Step 6: Final answer
    x = 524,567.91

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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.