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Finding the Fourth Proportional to 318,775.46, 477,941.24 and 141,186.20

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Solution

The fourth proportional to 318,775.46, 477,941.24 and 141,186.20 is: 211,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,775.46 : 477,941.24 = 141,186.20 : x
  2. Step 2: Convert to fraction form
    318,775.46/477,941.24 = 141,186.20/x
  3. Step 3: Cross multiply
    318,775.46x = 477,941.24 × 141,186.20
  4. Step 4: Simplify right side
    318,775.46x = 67,478,707,498.89
  5. Step 5: Solve for x
    x = 67,478,707,498.89/318,775.46
  6. Step 6: Final answer
    x = 211,681.00

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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.