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Finding the Fourth Proportional to 402,351.20, 603,526.80 and 397,102.40

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Solution

The fourth proportional to 402,351.20, 603,526.80 and 397,102.40 is: 595,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,351.20 : 603,526.80 = 397,102.40 : x
  2. Step 2: Convert to fraction form
    402,351.20/603,526.80 = 397,102.40/x
  3. Step 3: Cross multiply
    402,351.20x = 603,526.80 × 397,102.40
  4. Step 4: Simplify right side
    402,351.20x = 239,661,940,744.32
  5. Step 5: Solve for x
    x = 239,661,940,744.32/402,351.20
  6. Step 6: Final answer
    x = 595,653.60

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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.