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Finding the Fourth Proportional to 354,214.40, 531,321.60 and 301,070.30

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Solution

The fourth proportional to 354,214.40, 531,321.60 and 301,070.30 is: 451,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,214.40 : 531,321.60 = 301,070.30 : x
  2. Step 2: Convert to fraction form
    354,214.40/531,321.60 = 301,070.30/x
  3. Step 3: Cross multiply
    354,214.40x = 531,321.60 × 301,070.30
  4. Step 4: Simplify right side
    354,214.40x = 159,965,153,508.48
  5. Step 5: Solve for x
    x = 159,965,153,508.48/354,214.40
  6. Step 6: Final answer
    x = 451,605.45

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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.