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Finding the Fourth Proportional to 548,655.40, 821,379.30 and 391,191.40

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Solution

The fourth proportional to 548,655.40, 821,379.30 and 391,191.40 is: 585,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,655.40 : 821,379.30 = 391,191.40 : x
  2. Step 2: Convert to fraction form
    548,655.40/821,379.30 = 391,191.40/x
  3. Step 3: Cross multiply
    548,655.40x = 821,379.30 × 391,191.40
  4. Step 4: Simplify right side
    548,655.40x = 321,316,518,298.02
  5. Step 5: Solve for x
    x = 321,316,518,298.02/548,655.40
  6. Step 6: Final answer
    x = 585,643.59

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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.