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Finding the Fourth Proportional to 402,257.94, 603,464.70 and 152,920.50

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Solution

The fourth proportional to 402,257.94, 603,464.70 and 152,920.50 is: 229,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,257.94 : 603,464.70 = 152,920.50 : x
  2. Step 2: Convert to fraction form
    402,257.94/603,464.70 = 152,920.50/x
  3. Step 3: Cross multiply
    402,257.94x = 603,464.70 × 152,920.50
  4. Step 4: Simplify right side
    402,257.94x = 92,282,123,656.35
  5. Step 5: Solve for x
    x = 92,282,123,656.35/402,257.94
  6. Step 6: Final answer
    x = 229,410.32

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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.