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Finding the Fourth Proportional to 553,695.70, 830,543.55 and 543,198.10

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Solution

The fourth proportional to 553,695.70, 830,543.55 and 543,198.10 is: 814,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,695.70 : 830,543.55 = 543,198.10 : x
  2. Step 2: Convert to fraction form
    553,695.70/830,543.55 = 543,198.10/x
  3. Step 3: Cross multiply
    553,695.70x = 830,543.55 × 543,198.10
  4. Step 4: Simplify right side
    553,695.70x = 451,149,678,327.26
  5. Step 5: Solve for x
    x = 451,149,678,327.26/553,695.70
  6. Step 6: Final answer
    x = 814,797.15

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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.