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Finding the Fourth Proportional to 360,956.76, 498,114.30 and 199,808.40

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Solution

The fourth proportional to 360,956.76, 498,114.30 and 199,808.40 is: 275,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,956.76 : 498,114.30 = 199,808.40 : x
  2. Step 2: Convert to fraction form
    360,956.76/498,114.30 = 199,808.40/x
  3. Step 3: Cross multiply
    360,956.76x = 498,114.30 × 199,808.40
  4. Step 4: Simplify right side
    360,956.76x = 99,527,421,300.12
  5. Step 5: Solve for x
    x = 99,527,421,300.12/360,956.76
  6. Step 6: Final answer
    x = 275,732.25

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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.