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Finding the Fourth Proportional to 318,820.26, 477,583.74 and 147,801.45

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Solution

The fourth proportional to 318,820.26, 477,583.74 and 147,801.45 is: 221,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,820.26 : 477,583.74 = 147,801.45 : x
  2. Step 2: Convert to fraction form
    318,820.26/477,583.74 = 147,801.45/x
  3. Step 3: Cross multiply
    318,820.26x = 477,583.74 × 147,801.45
  4. Step 4: Simplify right side
    318,820.26x = 70,587,569,268.42
  5. Step 5: Solve for x
    x = 70,587,569,268.42/318,820.26
  6. Step 6: Final answer
    x = 221,402.40

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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.