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Finding the Fourth Proportional to 432,205.84, 647,978.28 and 357,089.68

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Solution

The fourth proportional to 432,205.84, 647,978.28 and 357,089.68 is: 535,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,205.84 : 647,978.28 = 357,089.68 : x
  2. Step 2: Convert to fraction form
    432,205.84/647,978.28 = 357,089.68/x
  3. Step 3: Cross multiply
    432,205.84x = 647,978.28 × 357,089.68
  4. Step 4: Simplify right side
    432,205.84x = 231,386,356,652.15
  5. Step 5: Solve for x
    x = 231,386,356,652.15/432,205.84
  6. Step 6: Final answer
    x = 535,361.48

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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.