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Finding the Fourth Proportional to 463,475, 639,595.50 and 251,507

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Solution

The fourth proportional to 463,475, 639,595.50 and 251,507 is: 347,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,475 : 639,595.50 = 251,507 : x
  2. Step 2: Convert to fraction form
    463,475/639,595.50 = 251,507/x
  3. Step 3: Cross multiply
    463,475x = 639,595.50 × 251,507
  4. Step 4: Simplify right side
    463,475x = 160,862,745,418.50
  5. Step 5: Solve for x
    x = 160,862,745,418.50/463,475
  6. Step 6: Final answer
    x = 347,079.66

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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.