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Finding the Fourth Proportional to 307,582.88, 424,199.31 and 200,113.70

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Solution

The fourth proportional to 307,582.88, 424,199.31 and 200,113.70 is: 275,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,582.88 : 424,199.31 = 200,113.70 : x
  2. Step 2: Convert to fraction form
    307,582.88/424,199.31 = 200,113.70/x
  3. Step 3: Cross multiply
    307,582.88x = 424,199.31 × 200,113.70
  4. Step 4: Simplify right side
    307,582.88x = 84,888,093,461.55
  5. Step 5: Solve for x
    x = 84,888,093,461.55/307,582.88
  6. Step 6: Final answer
    x = 275,984.45

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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.