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Finding the Fourth Proportional to 311,445.96, 429,290.64 and 243,344.16

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Solution

The fourth proportional to 311,445.96, 429,290.64 and 243,344.16 is: 335,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,445.96 : 429,290.64 = 243,344.16 : x
  2. Step 2: Convert to fraction form
    311,445.96/429,290.64 = 243,344.16/x
  3. Step 3: Cross multiply
    311,445.96x = 429,290.64 × 243,344.16
  4. Step 4: Simplify right side
    311,445.96x = 104,465,370,186.66
  5. Step 5: Solve for x
    x = 104,465,370,186.66/311,445.96
  6. Step 6: Final answer
    x = 335,420.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.