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Finding the Fourth Proportional to 302,947.20, 454,420.80 and 78,307.20

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Solution

The fourth proportional to 302,947.20, 454,420.80 and 78,307.20 is: 117,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,947.20 : 454,420.80 = 78,307.20 : x
  2. Step 2: Convert to fraction form
    302,947.20/454,420.80 = 78,307.20/x
  3. Step 3: Cross multiply
    302,947.20x = 454,420.80 × 78,307.20
  4. Step 4: Simplify right side
    302,947.20x = 35,584,420,469.76
  5. Step 5: Solve for x
    x = 35,584,420,469.76/302,947.20
  6. Step 6: Final answer
    x = 117,460.80

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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.