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Finding the Fourth Proportional to 432,963.40, 648,132.90 and 314,865.40

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Solution

The fourth proportional to 432,963.40, 648,132.90 and 314,865.40 is: 471,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,963.40 : 648,132.90 = 314,865.40 : x
  2. Step 2: Convert to fraction form
    432,963.40/648,132.90 = 314,865.40/x
  3. Step 3: Cross multiply
    432,963.40x = 648,132.90 × 314,865.40
  4. Step 4: Simplify right side
    432,963.40x = 204,074,624,811.66
  5. Step 5: Solve for x
    x = 204,074,624,811.66/432,963.40
  6. Step 6: Final answer
    x = 471,343.82

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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.