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Finding the Fourth Proportional to 808,543.80, 1,213,814.10 and 509,023.80

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Solution

The fourth proportional to 808,543.80, 1,213,814.10 and 509,023.80 is: 764,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,543.80 : 1,213,814.10 = 509,023.80 : x
  2. Step 2: Convert to fraction form
    808,543.80/1,213,814.10 = 509,023.80/x
  3. Step 3: Cross multiply
    808,543.80x = 1,213,814.10 × 509,023.80
  4. Step 4: Simplify right side
    808,543.80x = 617,860,265,675.58
  5. Step 5: Solve for x
    x = 617,860,265,675.58/808,543.80
  6. Step 6: Final answer
    x = 764,164.25

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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.