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Finding the Fourth Proportional to 354,729.60, 531,403.20 and 214,070.40

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Solution

The fourth proportional to 354,729.60, 531,403.20 and 214,070.40 is: 320,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,729.60 : 531,403.20 = 214,070.40 : x
  2. Step 2: Convert to fraction form
    354,729.60/531,403.20 = 214,070.40/x
  3. Step 3: Cross multiply
    354,729.60x = 531,403.20 × 214,070.40
  4. Step 4: Simplify right side
    354,729.60x = 113,757,695,585.28
  5. Step 5: Solve for x
    x = 113,757,695,585.28/354,729.60
  6. Step 6: Final answer
    x = 320,688.48

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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.