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Finding the Fourth Proportional to 700,085, 966,122.16 and 398,279

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Solution

The fourth proportional to 700,085, 966,122.16 and 398,279 is: 549,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,085 : 966,122.16 = 398,279 : x
  2. Step 2: Convert to fraction form
    700,085/966,122.16 = 398,279/x
  3. Step 3: Cross multiply
    700,085x = 966,122.16 × 398,279
  4. Step 4: Simplify right side
    700,085x = 384,786,167,762.64
  5. Step 5: Solve for x
    x = 384,786,167,762.64/700,085
  6. Step 6: Final answer
    x = 549,627.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.