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Finding the Fourth Proportional to 838,468, 1,157,049.60 and 456,496.16

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Solution

The fourth proportional to 838,468, 1,157,049.60 and 456,496.16 is: 629,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,468 : 1,157,049.60 = 456,496.16 : x
  2. Step 2: Convert to fraction form
    838,468/1,157,049.60 = 456,496.16/x
  3. Step 3: Cross multiply
    838,468x = 1,157,049.60 × 456,496.16
  4. Step 4: Simplify right side
    838,468x = 528,188,699,329.54
  5. Step 5: Solve for x
    x = 528,188,699,329.54/838,468
  6. Step 6: Final answer
    x = 629,944.97

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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.