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Finding the Fourth Proportional to 427,578.74, 590,018.47 and 289,476.73

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Solution

The fourth proportional to 427,578.74, 590,018.47 and 289,476.73 is: 399,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,578.74 : 590,018.47 = 289,476.73 : x
  2. Step 2: Convert to fraction form
    427,578.74/590,018.47 = 289,476.73/x
  3. Step 3: Cross multiply
    427,578.74x = 590,018.47 × 289,476.73
  4. Step 4: Simplify right side
    427,578.74x = 170,796,617,335.20
  5. Step 5: Solve for x
    x = 170,796,617,335.20/427,578.74
  6. Step 6: Final answer
    x = 399,450.68

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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.