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Finding the Fourth Proportional to 318,006.48, 477,004.86 and 81,347.16

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Solution

The fourth proportional to 318,006.48, 477,004.86 and 81,347.16 is: 122,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,006.48 : 477,004.86 = 81,347.16 : x
  2. Step 2: Convert to fraction form
    318,006.48/477,004.86 = 81,347.16/x
  3. Step 3: Cross multiply
    318,006.48x = 477,004.86 × 81,347.16
  4. Step 4: Simplify right side
    318,006.48x = 38,802,990,667.20
  5. Step 5: Solve for x
    x = 38,802,990,667.20/318,006.48
  6. Step 6: Final answer
    x = 122,019.50

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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.