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Finding the Fourth Proportional to 549,937.30, 823,921.80 and 471,205.30

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Solution

The fourth proportional to 549,937.30, 823,921.80 and 471,205.30 is: 705,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,937.30 : 823,921.80 = 471,205.30 : x
  2. Step 2: Convert to fraction form
    549,937.30/823,921.80 = 471,205.30/x
  3. Step 3: Cross multiply
    549,937.30x = 823,921.80 × 471,205.30
  4. Step 4: Simplify right side
    549,937.30x = 388,236,318,945.54
  5. Step 5: Solve for x
    x = 388,236,318,945.54/549,937.30
  6. Step 6: Final answer
    x = 705,964.70

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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.