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Finding the Fourth Proportional to 402,483.20, 603,724.80 and 397,234.40

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Solution

The fourth proportional to 402,483.20, 603,724.80 and 397,234.40 is: 595,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,483.20 : 603,724.80 = 397,234.40 : x
  2. Step 2: Convert to fraction form
    402,483.20/603,724.80 = 397,234.40/x
  3. Step 3: Cross multiply
    402,483.20x = 603,724.80 × 397,234.40
  4. Step 4: Simplify right side
    402,483.20x = 239,820,258,693.12
  5. Step 5: Solve for x
    x = 239,820,258,693.12/402,483.20
  6. Step 6: Final answer
    x = 595,851.60

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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.