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Finding the Fourth Proportional to 402,443.60, 603,665.40 and 396,538.70

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Solution

The fourth proportional to 402,443.60, 603,665.40 and 396,538.70 is: 594,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,443.60 : 603,665.40 = 396,538.70 : x
  2. Step 2: Convert to fraction form
    402,443.60/603,665.40 = 396,538.70/x
  3. Step 3: Cross multiply
    402,443.60x = 603,665.40 × 396,538.70
  4. Step 4: Simplify right side
    402,443.60x = 239,376,692,950.98
  5. Step 5: Solve for x
    x = 239,376,692,950.98/402,443.60
  6. Step 6: Final answer
    x = 594,808.05

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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.