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Finding the Fourth Proportional to 402,464.80, 603,697.20 and 215,840.80

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Solution

The fourth proportional to 402,464.80, 603,697.20 and 215,840.80 is: 323,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,464.80 : 603,697.20 = 215,840.80 : x
  2. Step 2: Convert to fraction form
    402,464.80/603,697.20 = 215,840.80/x
  3. Step 3: Cross multiply
    402,464.80x = 603,697.20 × 215,840.80
  4. Step 4: Simplify right side
    402,464.80x = 130,302,486,605.76
  5. Step 5: Solve for x
    x = 130,302,486,605.76/402,464.80
  6. Step 6: Final answer
    x = 323,761.20

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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.