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Finding the Fourth Proportional to 642,608.40, 885,692.70 and 427,363.86

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Solution

The fourth proportional to 642,608.40, 885,692.70 and 427,363.86 is: 589,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,608.40 : 885,692.70 = 427,363.86 : x
  2. Step 2: Convert to fraction form
    642,608.40/885,692.70 = 427,363.86/x
  3. Step 3: Cross multiply
    642,608.40x = 885,692.70 × 427,363.86
  4. Step 4: Simplify right side
    642,608.40x = 378,513,051,045.82
  5. Step 5: Solve for x
    x = 378,513,051,045.82/642,608.40
  6. Step 6: Final answer
    x = 589,025.99

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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.