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Finding the Fourth Proportional to 477,420, 658,840.32 and 276,228.96

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Solution

The fourth proportional to 477,420, 658,840.32 and 276,228.96 is: 381,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,420 : 658,840.32 = 276,228.96 : x
  2. Step 2: Convert to fraction form
    477,420/658,840.32 = 276,228.96/x
  3. Step 3: Cross multiply
    477,420x = 658,840.32 × 276,228.96
  4. Step 4: Simplify right side
    477,420x = 181,990,776,399.67
  5. Step 5: Solve for x
    x = 181,990,776,399.67/477,420
  6. Step 6: Final answer
    x = 381,196.38

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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.