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Finding the Fourth Proportional to 513,655.20, 770,540.40 and 158,666.40

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Solution

The fourth proportional to 513,655.20, 770,540.40 and 158,666.40 is: 238,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,655.20 : 770,540.40 = 158,666.40 : x
  2. Step 2: Convert to fraction form
    513,655.20/770,540.40 = 158,666.40/x
  3. Step 3: Cross multiply
    513,655.20x = 770,540.40 × 158,666.40
  4. Step 4: Simplify right side
    513,655.20x = 122,258,871,322.56
  5. Step 5: Solve for x
    x = 122,258,871,322.56/513,655.20
  6. Step 6: Final answer
    x = 238,017.39

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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.