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Finding the Fourth Proportional to 876,422, 1,209,462.45 and 474,014

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Solution

The fourth proportional to 876,422, 1,209,462.45 and 474,014 is: 654,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,422 : 1,209,462.45 = 474,014 : x
  2. Step 2: Convert to fraction form
    876,422/1,209,462.45 = 474,014/x
  3. Step 3: Cross multiply
    876,422x = 1,209,462.45 × 474,014
  4. Step 4: Simplify right side
    876,422x = 573,302,133,774.30
  5. Step 5: Solve for x
    x = 573,302,133,774.30/876,422
  6. Step 6: Final answer
    x = 654,139.37

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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.