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Finding the Fourth Proportional to 377,298, 520,544.16 and 256,229.28

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Solution

The fourth proportional to 377,298, 520,544.16 and 256,229.28 is: 353,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,298 : 520,544.16 = 256,229.28 : x
  2. Step 2: Convert to fraction form
    377,298/520,544.16 = 256,229.28/x
  3. Step 3: Cross multiply
    377,298x = 520,544.16 × 256,229.28
  4. Step 4: Simplify right side
    377,298x = 133,378,655,325.01
  5. Step 5: Solve for x
    x = 133,378,655,325.01/377,298
  6. Step 6: Final answer
    x = 353,510.10

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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.