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Finding the Fourth Proportional to 642,354.69, 963,456.96 and 258,087.98

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Solution

The fourth proportional to 642,354.69, 963,456.96 and 258,087.98 is: 387,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,354.69 : 963,456.96 = 258,087.98 : x
  2. Step 2: Convert to fraction form
    642,354.69/963,456.96 = 258,087.98/x
  3. Step 3: Cross multiply
    642,354.69x = 963,456.96 × 258,087.98
  4. Step 4: Simplify right side
    642,354.69x = 248,656,655,806.06
  5. Step 5: Solve for x
    x = 248,656,655,806.06/642,354.69
  6. Step 6: Final answer
    x = 387,101.80

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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.