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Finding the Fourth Proportional to 399,038.84, 598,551.84 and 185,687.46

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Solution

The fourth proportional to 399,038.84, 598,551.84 and 185,687.46 is: 278,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,038.84 : 598,551.84 = 185,687.46 : x
  2. Step 2: Convert to fraction form
    399,038.84/598,551.84 = 185,687.46/x
  3. Step 3: Cross multiply
    399,038.84x = 598,551.84 × 185,687.46
  4. Step 4: Simplify right side
    399,038.84x = 111,143,570,847.93
  5. Step 5: Solve for x
    x = 111,143,570,847.93/399,038.84
  6. Step 6: Final answer
    x = 278,528.20

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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.