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Finding the Fourth Proportional to 259,807.50, 389,840.40 and 145,884.42

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Solution

The fourth proportional to 259,807.50, 389,840.40 and 145,884.42 is: 218,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,807.50 : 389,840.40 = 145,884.42 : x
  2. Step 2: Convert to fraction form
    259,807.50/389,840.40 = 145,884.42/x
  3. Step 3: Cross multiply
    259,807.50x = 389,840.40 × 145,884.42
  4. Step 4: Simplify right side
    259,807.50x = 56,871,640,646.57
  5. Step 5: Solve for x
    x = 56,871,640,646.57/259,807.50
  6. Step 6: Final answer
    x = 218,899.15

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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.