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Finding the Fourth Proportional to 360,968.76, 498,130.92 and 199,820.40

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Solution

The fourth proportional to 360,968.76, 498,130.92 and 199,820.40 is: 275,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,968.76 : 498,130.92 = 199,820.40 : x
  2. Step 2: Convert to fraction form
    360,968.76/498,130.92 = 199,820.40/x
  3. Step 3: Cross multiply
    360,968.76x = 498,130.92 × 199,820.40
  4. Step 4: Simplify right side
    360,968.76x = 99,536,719,686.77
  5. Step 5: Solve for x
    x = 99,536,719,686.77/360,968.76
  6. Step 6: Final answer
    x = 275,748.85

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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.