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Finding the Fourth Proportional to 642,113.02, 886,122.48 and 387,415

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Solution

The fourth proportional to 642,113.02, 886,122.48 and 387,415 is: 534,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,113.02 : 886,122.48 = 387,415 : x
  2. Step 2: Convert to fraction form
    642,113.02/886,122.48 = 387,415/x
  3. Step 3: Cross multiply
    642,113.02x = 886,122.48 × 387,415
  4. Step 4: Simplify right side
    642,113.02x = 343,297,140,589.20
  5. Step 5: Solve for x
    x = 343,297,140,589.20/642,113.02
  6. Step 6: Final answer
    x = 534,636.63

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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.