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Finding the Fourth Proportional to 876,391, 1,209,419.58 and 473,983

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Solution

The fourth proportional to 876,391, 1,209,419.58 and 473,983 is: 654,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,391 : 1,209,419.58 = 473,983 : x
  2. Step 2: Convert to fraction form
    876,391/1,209,419.58 = 473,983/x
  3. Step 3: Cross multiply
    876,391x = 1,209,419.58 × 473,983
  4. Step 4: Simplify right side
    876,391x = 573,244,320,787.14
  5. Step 5: Solve for x
    x = 573,244,320,787.14/876,391
  6. Step 6: Final answer
    x = 654,096.54

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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.