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Finding the Fourth Proportional to 540,410, 745,379.02 and 379,301

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Solution

The fourth proportional to 540,410, 745,379.02 and 379,301 is: 523,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,410 : 745,379.02 = 379,301 : x
  2. Step 2: Convert to fraction form
    540,410/745,379.02 = 379,301/x
  3. Step 3: Cross multiply
    540,410x = 745,379.02 × 379,301
  4. Step 4: Simplify right side
    540,410x = 282,723,007,665.02
  5. Step 5: Solve for x
    x = 282,723,007,665.02/540,410
  6. Step 6: Final answer
    x = 523,163.91

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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.