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Finding the Fourth Proportional to 360,111.60, 496,959.12 and 198,970.20

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Solution

The fourth proportional to 360,111.60, 496,959.12 and 198,970.20 is: 274,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,111.60 : 496,959.12 = 198,970.20 : x
  2. Step 2: Convert to fraction form
    360,111.60/496,959.12 = 198,970.20/x
  3. Step 3: Cross multiply
    360,111.60x = 496,959.12 × 198,970.20
  4. Step 4: Simplify right side
    360,111.60x = 98,880,055,498.22
  5. Step 5: Solve for x
    x = 98,880,055,498.22/360,111.60
  6. Step 6: Final answer
    x = 274,581.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.