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Finding the Fourth Proportional to 642,341.90, 886,438.96 and 355,866.50

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Solution

The fourth proportional to 642,341.90, 886,438.96 and 355,866.50 is: 491,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,341.90 : 886,438.96 = 355,866.50 : x
  2. Step 2: Convert to fraction form
    642,341.90/886,438.96 = 355,866.50/x
  3. Step 3: Cross multiply
    642,341.90x = 886,438.96 × 355,866.50
  4. Step 4: Simplify right side
    642,341.90x = 315,453,930,158.84
  5. Step 5: Solve for x
    x = 315,453,930,158.84/642,341.90
  6. Step 6: Final answer
    x = 491,099.72

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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.