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Finding the Fourth Proportional to 313,813.30, 470,719.96 and 187,842.10

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Solution

The fourth proportional to 313,813.30, 470,719.96 and 187,842.10 is: 281,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,813.30 : 470,719.96 = 187,842.10 : x
  2. Step 2: Convert to fraction form
    313,813.30/470,719.96 = 187,842.10/x
  3. Step 3: Cross multiply
    313,813.30x = 470,719.96 × 187,842.10
  4. Step 4: Simplify right side
    313,813.30x = 88,421,025,798.32
  5. Step 5: Solve for x
    x = 88,421,025,798.32/313,813.30
  6. Step 6: Final answer
    x = 281,763.16

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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.