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Finding the Fourth Proportional to 282,274.80, 423,276.12 and 163,980

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Solution

The fourth proportional to 282,274.80, 423,276.12 and 163,980 is: 245,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,274.80 : 423,276.12 = 163,980 : x
  2. Step 2: Convert to fraction form
    282,274.80/423,276.12 = 163,980/x
  3. Step 3: Cross multiply
    282,274.80x = 423,276.12 × 163,980
  4. Step 4: Simplify right side
    282,274.80x = 69,408,818,157.60
  5. Step 5: Solve for x
    x = 69,408,818,157.60/282,274.80
  6. Step 6: Final answer
    x = 245,890.95

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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.