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Finding the Fourth Proportional to 379,045.68, 523,082.70 and 209,280.84

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Solution

The fourth proportional to 379,045.68, 523,082.70 and 209,280.84 is: 288,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,045.68 : 523,082.70 = 209,280.84 : x
  2. Step 2: Convert to fraction form
    379,045.68/523,082.70 = 209,280.84/x
  3. Step 3: Cross multiply
    379,045.68x = 523,082.70 × 209,280.84
  4. Step 4: Simplify right side
    379,045.68x = 109,471,186,845.47
  5. Step 5: Solve for x
    x = 109,471,186,845.47/379,045.68
  6. Step 6: Final answer
    x = 288,807.37

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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.