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Finding the Fourth Proportional to 432,540.60, 648,810.81 and 314,960.19

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Solution

The fourth proportional to 432,540.60, 648,810.81 and 314,960.19 is: 472,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,540.60 : 648,810.81 = 314,960.19 : x
  2. Step 2: Convert to fraction form
    432,540.60/648,810.81 = 314,960.19/x
  3. Step 3: Cross multiply
    432,540.60x = 648,810.81 × 314,960.19
  4. Step 4: Simplify right side
    432,540.60x = 204,349,575,991.65
  5. Step 5: Solve for x
    x = 204,349,575,991.65/432,540.60
  6. Step 6: Final answer
    x = 472,440.22

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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.