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Finding the Fourth Proportional to 538,210.33, 807,461.23 and 201,285.21

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Solution

The fourth proportional to 538,210.33, 807,461.23 and 201,285.21 is: 301,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,210.33 : 807,461.23 = 201,285.21 : x
  2. Step 2: Convert to fraction form
    538,210.33/807,461.23 = 201,285.21/x
  3. Step 3: Cross multiply
    538,210.33x = 807,461.23 × 201,285.21
  4. Step 4: Simplify right side
    538,210.33x = 162,530,003,247.41
  5. Step 5: Solve for x
    x = 162,530,003,247.41/538,210.33
  6. Step 6: Final answer
    x = 301,982.32

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1.5x scale

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.