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Finding the Fourth Proportional to 432,969.40, 648,141.90 and 314,871.40

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Solution

The fourth proportional to 432,969.40, 648,141.90 and 314,871.40 is: 471,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,969.40 : 648,141.90 = 314,871.40 : x
  2. Step 2: Convert to fraction form
    432,969.40/648,141.90 = 314,871.40/x
  3. Step 3: Cross multiply
    432,969.40x = 648,141.90 × 314,871.40
  4. Step 4: Simplify right side
    432,969.40x = 204,081,347,451.66
  5. Step 5: Solve for x
    x = 204,081,347,451.66/432,969.40
  6. Step 6: Final answer
    x = 471,352.82

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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.