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Finding the Fourth Proportional to 378,510.56, 522,345.06 and 206,428.89

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Solution

The fourth proportional to 378,510.56, 522,345.06 and 206,428.89 is: 284,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,510.56 : 522,345.06 = 206,428.89 : x
  2. Step 2: Convert to fraction form
    378,510.56/522,345.06 = 206,428.89/x
  3. Step 3: Cross multiply
    378,510.56x = 522,345.06 × 206,428.89
  4. Step 4: Simplify right side
    378,510.56x = 107,827,110,932.78
  5. Step 5: Solve for x
    x = 107,827,110,932.78/378,510.56
  6. Step 6: Final answer
    x = 284,872.14

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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.