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Finding the Fourth Proportional to 432,204.84, 647,976.78 and 357,088.68

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Solution

The fourth proportional to 432,204.84, 647,976.78 and 357,088.68 is: 535,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,204.84 : 647,976.78 = 357,088.68 : x
  2. Step 2: Convert to fraction form
    432,204.84/647,976.78 = 357,088.68/x
  3. Step 3: Cross multiply
    432,204.84x = 647,976.78 × 357,088.68
  4. Step 4: Simplify right side
    432,204.84x = 231,385,173,040.85
  5. Step 5: Solve for x
    x = 231,385,173,040.85/432,204.84
  6. Step 6: Final answer
    x = 535,359.98

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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.