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Finding the Fourth Proportional to 435,966.40, 653,463.60 and 169,638.40

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Solution

The fourth proportional to 435,966.40, 653,463.60 and 169,638.40 is: 254,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,966.40 : 653,463.60 = 169,638.40 : x
  2. Step 2: Convert to fraction form
    435,966.40/653,463.60 = 169,638.40/x
  3. Step 3: Cross multiply
    435,966.40x = 653,463.60 × 169,638.40
  4. Step 4: Simplify right side
    435,966.40x = 110,852,519,562.24
  5. Step 5: Solve for x
    x = 110,852,519,562.24/435,966.40
  6. Step 6: Final answer
    x = 254,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.