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Finding the Fourth Proportional to 399,200.70, 598,801.05 and 257,483.10

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Solution

The fourth proportional to 399,200.70, 598,801.05 and 257,483.10 is: 386,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,200.70 : 598,801.05 = 257,483.10 : x
  2. Step 2: Convert to fraction form
    399,200.70/598,801.05 = 257,483.10/x
  3. Step 3: Cross multiply
    399,200.70x = 598,801.05 × 257,483.10
  4. Step 4: Simplify right side
    399,200.70x = 154,181,150,637.26
  5. Step 5: Solve for x
    x = 154,181,150,637.26/399,200.70
  6. Step 6: Final answer
    x = 386,224.65

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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.