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Finding the Fourth Proportional to 319,021.40, 477,941.70 and 185,965.40

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Solution

The fourth proportional to 319,021.40, 477,941.70 and 185,965.40 is: 278,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,021.40 : 477,941.70 = 185,965.40 : x
  2. Step 2: Convert to fraction form
    319,021.40/477,941.70 = 185,965.40/x
  3. Step 3: Cross multiply
    319,021.40x = 477,941.70 × 185,965.40
  4. Step 4: Simplify right side
    319,021.40x = 88,880,619,417.18
  5. Step 5: Solve for x
    x = 88,880,619,417.18/319,021.40
  6. Step 6: Final answer
    x = 278,603.94

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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.