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Finding the Fourth Proportional to 397,023.40, 595,407.12 and 130,720.56

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Solution

The fourth proportional to 397,023.40, 595,407.12 and 130,720.56 is: 196,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,023.40 : 595,407.12 = 130,720.56 : x
  2. Step 2: Convert to fraction form
    397,023.40/595,407.12 = 130,720.56/x
  3. Step 3: Cross multiply
    397,023.40x = 595,407.12 × 130,720.56
  4. Step 4: Simplify right side
    397,023.40x = 77,831,952,154.39
  5. Step 5: Solve for x
    x = 77,831,952,154.39/397,023.40
  6. Step 6: Final answer
    x = 196,038.70

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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.