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Finding the Fourth Proportional to 313,710.57, 470,516.45 and 260,742.65

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Solution

The fourth proportional to 313,710.57, 470,516.45 and 260,742.65 is: 391,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.57 : 470,516.45 = 260,742.65 : x
  2. Step 2: Convert to fraction form
    313,710.57/470,516.45 = 260,742.65/x
  3. Step 3: Cross multiply
    313,710.57x = 470,516.45 × 260,742.65
  4. Step 4: Simplify right side
    313,710.57x = 122,683,702,385.30
  5. Step 5: Solve for x
    x = 122,683,702,385.30/313,710.57
  6. Step 6: Final answer
    x = 391,072.90

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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.