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Finding the Fourth Proportional to 549,957.80, 823,770.30 and 456,645.80

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Solution

The fourth proportional to 549,957.80, 823,770.30 and 456,645.80 is: 684,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,957.80 : 823,770.30 = 456,645.80 : x
  2. Step 2: Convert to fraction form
    549,957.80/823,770.30 = 456,645.80/x
  3. Step 3: Cross multiply
    549,957.80x = 823,770.30 × 456,645.80
  4. Step 4: Simplify right side
    549,957.80x = 376,171,247,659.74
  5. Step 5: Solve for x
    x = 376,171,247,659.74/549,957.80
  6. Step 6: Final answer
    x = 684,000.20

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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.