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Finding the Fourth Proportional to 478,014.12, 658,236.78 and 467,405.82

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Solution

The fourth proportional to 478,014.12, 658,236.78 and 467,405.82 is: 643,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,014.12 : 658,236.78 = 467,405.82 : x
  2. Step 2: Convert to fraction form
    478,014.12/658,236.78 = 467,405.82/x
  3. Step 3: Cross multiply
    478,014.12x = 658,236.78 × 467,405.82
  4. Step 4: Simplify right side
    478,014.12x = 307,663,701,910.06
  5. Step 5: Solve for x
    x = 307,663,701,910.06/478,014.12
  6. Step 6: Final answer
    x = 643,628.90

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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.