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Finding the Fourth Proportional to 397,205.10, 595,807.65 and 210,581.10

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Solution

The fourth proportional to 397,205.10, 595,807.65 and 210,581.10 is: 315,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,205.10 : 595,807.65 = 210,581.10 : x
  2. Step 2: Convert to fraction form
    397,205.10/595,807.65 = 210,581.10/x
  3. Step 3: Cross multiply
    397,205.10x = 595,807.65 × 210,581.10
  4. Step 4: Simplify right side
    397,205.10x = 125,465,830,325.42
  5. Step 5: Solve for x
    x = 125,465,830,325.42/397,205.10
  6. Step 6: Final answer
    x = 315,871.65

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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.