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Finding the Fourth Proportional to 549,815.51, 824,520.94 and 189,894.78

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Solution

The fourth proportional to 549,815.51, 824,520.94 and 189,894.78 is: 284,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,815.51 : 824,520.94 = 189,894.78 : x
  2. Step 2: Convert to fraction form
    549,815.51/824,520.94 = 189,894.78/x
  3. Step 3: Cross multiply
    549,815.51x = 824,520.94 × 189,894.78
  4. Step 4: Simplify right side
    549,815.51x = 156,572,222,031.96
  5. Step 5: Solve for x
    x = 156,572,222,031.96/549,815.51
  6. Step 6: Final answer
    x = 284,772.29

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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.