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Finding the Fourth Proportional to 318,775.58, 477,941.43 and 141,186.32

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Solution

The fourth proportional to 318,775.58, 477,941.43 and 141,186.32 is: 211,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,775.58 : 477,941.43 = 141,186.32 : x
  2. Step 2: Convert to fraction form
    318,775.58/477,941.43 = 141,186.32/x
  3. Step 3: Cross multiply
    318,775.58x = 477,941.43 × 141,186.32
  4. Step 4: Simplify right side
    318,775.58x = 67,478,791,677.24
  5. Step 5: Solve for x
    x = 67,478,791,677.24/318,775.58
  6. Step 6: Final answer
    x = 211,681.18

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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.