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Finding the Fourth Proportional to 318,852.44, 477,950.61 and 141,443

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Solution

The fourth proportional to 318,852.44, 477,950.61 and 141,443 is: 212,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,852.44 : 477,950.61 = 141,443 : x
  2. Step 2: Convert to fraction form
    318,852.44/477,950.61 = 141,443/x
  3. Step 3: Cross multiply
    318,852.44x = 477,950.61 × 141,443
  4. Step 4: Simplify right side
    318,852.44x = 67,602,768,130.23
  5. Step 5: Solve for x
    x = 67,602,768,130.23/318,852.44
  6. Step 6: Final answer
    x = 212,018.98

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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.