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Finding the Fourth Proportional to 642,780, 886,943.28 and 356,300

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Solution

The fourth proportional to 642,780, 886,943.28 and 356,300 is: 491,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,780 : 886,943.28 = 356,300 : x
  2. Step 2: Convert to fraction form
    642,780/886,943.28 = 356,300/x
  3. Step 3: Cross multiply
    642,780x = 886,943.28 × 356,300
  4. Step 4: Simplify right side
    642,780x = 316,017,890,664
  5. Step 5: Solve for x
    x = 316,017,890,664/642,780
  6. Step 6: Final answer
    x = 491,642.38

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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.