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Finding the Fourth Proportional to 453,543.40, 680,315.10 and 154,102.60

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Solution

The fourth proportional to 453,543.40, 680,315.10 and 154,102.60 is: 231,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,543.40 : 680,315.10 = 154,102.60 : x
  2. Step 2: Convert to fraction form
    453,543.40/680,315.10 = 154,102.60/x
  3. Step 3: Cross multiply
    453,543.40x = 680,315.10 × 154,102.60
  4. Step 4: Simplify right side
    453,543.40x = 104,838,325,729.26
  5. Step 5: Solve for x
    x = 104,838,325,729.26/453,543.40
  6. Step 6: Final answer
    x = 231,153.90

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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.