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Finding the Fourth Proportional to 549,339.36, 823,801.68 and 253,644

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Solution

The fourth proportional to 549,339.36, 823,801.68 and 253,644 is: 380,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,339.36 : 823,801.68 = 253,644 : x
  2. Step 2: Convert to fraction form
    549,339.36/823,801.68 = 253,644/x
  3. Step 3: Cross multiply
    549,339.36x = 823,801.68 × 253,644
  4. Step 4: Simplify right side
    549,339.36x = 208,952,353,321.92
  5. Step 5: Solve for x
    x = 208,952,353,321.92/549,339.36
  6. Step 6: Final answer
    x = 380,370.26

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1.5x scale

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.