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Finding the Fourth Proportional to 318,883.50, 478,347.12 and 105,651

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Solution

The fourth proportional to 318,883.50, 478,347.12 and 105,651 is: 158,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,883.50 : 478,347.12 = 105,651 : x
  2. Step 2: Convert to fraction form
    318,883.50/478,347.12 = 105,651/x
  3. Step 3: Cross multiply
    318,883.50x = 478,347.12 × 105,651
  4. Step 4: Simplify right side
    318,883.50x = 50,537,851,575.12
  5. Step 5: Solve for x
    x = 50,537,851,575.12/318,883.50
  6. Step 6: Final answer
    x = 158,483.75

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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.