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Finding the Fourth Proportional to 477,431, 658,871.34 and 262,587.32

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Solution

The fourth proportional to 477,431, 658,871.34 and 262,587.32 is: 362,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,431 : 658,871.34 = 262,587.32 : x
  2. Step 2: Convert to fraction form
    477,431/658,871.34 = 262,587.32/x
  3. Step 3: Cross multiply
    477,431x = 658,871.34 × 262,587.32
  4. Step 4: Simplify right side
    477,431x = 173,011,259,395.41
  5. Step 5: Solve for x
    x = 173,011,259,395.41/477,431
  6. Step 6: Final answer
    x = 362,379.61

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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.