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Finding the Fourth Proportional to 313,772.58, 470,609.30 and 260,804.78

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Solution

The fourth proportional to 313,772.58, 470,609.30 and 260,804.78 is: 391,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,772.58 : 470,609.30 = 260,804.78 : x
  2. Step 2: Convert to fraction form
    313,772.58/470,609.30 = 260,804.78/x
  3. Step 3: Cross multiply
    313,772.58x = 470,609.30 × 260,804.78
  4. Step 4: Simplify right side
    313,772.58x = 122,737,154,952.45
  5. Step 5: Solve for x
    x = 122,737,154,952.45/313,772.58
  6. Step 6: Final answer
    x = 391,165.97

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1.5x scale

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.