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Finding the Fourth Proportional to 314,974.40, 472,461.60 and 189,003.20

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Solution

The fourth proportional to 314,974.40, 472,461.60 and 189,003.20 is: 283,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,974.40 : 472,461.60 = 189,003.20 : x
  2. Step 2: Convert to fraction form
    314,974.40/472,461.60 = 189,003.20/x
  3. Step 3: Cross multiply
    314,974.40x = 472,461.60 × 189,003.20
  4. Step 4: Simplify right side
    314,974.40x = 89,296,754,277.12
  5. Step 5: Solve for x
    x = 89,296,754,277.12/314,974.40
  6. Step 6: Final answer
    x = 283,504.80

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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.