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Finding the Fourth Proportional to 520,147.40, 780,255.14 and 160,274.12

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Solution

The fourth proportional to 520,147.40, 780,255.14 and 160,274.12 is: 240,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,147.40 : 780,255.14 = 160,274.12 : x
  2. Step 2: Convert to fraction form
    520,147.40/780,255.14 = 160,274.12/x
  3. Step 3: Cross multiply
    520,147.40x = 780,255.14 × 160,274.12
  4. Step 4: Simplify right side
    520,147.40x = 125,054,705,938.98
  5. Step 5: Solve for x
    x = 125,054,705,938.98/520,147.40
  6. Step 6: Final answer
    x = 240,421.67

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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.