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Finding the Fourth Proportional to 432,011.80, 648,114.90 and 254,427.40

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Solution

The fourth proportional to 432,011.80, 648,114.90 and 254,427.40 is: 381,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,011.80 : 648,114.90 = 254,427.40 : x
  2. Step 2: Convert to fraction form
    432,011.80/648,114.90 = 254,427.40/x
  3. Step 3: Cross multiply
    432,011.80x = 648,114.90 × 254,427.40
  4. Step 4: Simplify right side
    432,011.80x = 164,898,188,908.26
  5. Step 5: Solve for x
    x = 164,898,188,908.26/432,011.80
  6. Step 6: Final answer
    x = 381,698.34

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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.