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Finding the Fourth Proportional to 379,178.96, 523,299.51 and 209,445.89

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Solution

The fourth proportional to 379,178.96, 523,299.51 and 209,445.89 is: 289,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,178.96 : 523,299.51 = 209,445.89 : x
  2. Step 2: Convert to fraction form
    379,178.96/523,299.51 = 209,445.89/x
  3. Step 3: Cross multiply
    379,178.96x = 523,299.51 × 209,445.89
  4. Step 4: Simplify right side
    379,178.96x = 109,602,931,608.51
  5. Step 5: Solve for x
    x = 109,602,931,608.51/379,178.96
  6. Step 6: Final answer
    x = 289,053.31

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1.5x scale

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.