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Finding the Fourth Proportional to 647,735.94, 894,315.90 and 418,846.95

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Solution

The fourth proportional to 647,735.94, 894,315.90 and 418,846.95 is: 578,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,735.94 : 894,315.90 = 418,846.95 : x
  2. Step 2: Convert to fraction form
    647,735.94/894,315.90 = 418,846.95/x
  3. Step 3: Cross multiply
    647,735.94x = 894,315.90 × 418,846.95
  4. Step 4: Simplify right side
    647,735.94x = 374,581,487,051.51
  5. Step 5: Solve for x
    x = 374,581,487,051.51/647,735.94
  6. Step 6: Final answer
    x = 578,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.