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Finding the Fourth Proportional to 254,512.80, 381,812.40 and 77,018.40

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Solution

The fourth proportional to 254,512.80, 381,812.40 and 77,018.40 is: 115,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,512.80 : 381,812.40 = 77,018.40 : x
  2. Step 2: Convert to fraction form
    254,512.80/381,812.40 = 77,018.40/x
  3. Step 3: Cross multiply
    254,512.80x = 381,812.40 × 77,018.40
  4. Step 4: Simplify right side
    254,512.80x = 29,406,580,148.16
  5. Step 5: Solve for x
    x = 29,406,580,148.16/254,512.80
  6. Step 6: Final answer
    x = 115,540.67

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1.5x scale

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.