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Finding the Fourth Proportional to 379,543.96, 523,804.01 and 209,810.89

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Solution

The fourth proportional to 379,543.96, 523,804.01 and 209,810.89 is: 289,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,543.96 : 523,804.01 = 209,810.89 : x
  2. Step 2: Convert to fraction form
    379,543.96/523,804.01 = 209,810.89/x
  3. Step 3: Cross multiply
    379,543.96x = 523,804.01 × 209,810.89
  4. Step 4: Simplify right side
    379,543.96x = 109,899,785,523.67
  5. Step 5: Solve for x
    x = 109,899,785,523.67/379,543.96
  6. Step 6: Final answer
    x = 289,557.46

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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.