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Finding the Fourth Proportional to 318,303.34, 477,455.13 and 81,646

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Solution

The fourth proportional to 318,303.34, 477,455.13 and 81,646 is: 122,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,303.34 : 477,455.13 = 81,646 : x
  2. Step 2: Convert to fraction form
    318,303.34/477,455.13 = 81,646/x
  3. Step 3: Cross multiply
    318,303.34x = 477,455.13 × 81,646
  4. Step 4: Simplify right side
    318,303.34x = 38,982,301,543.98
  5. Step 5: Solve for x
    x = 38,982,301,543.98/318,303.34
  6. Step 6: Final answer
    x = 122,469.03

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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.