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Finding the Fourth Proportional to 927,469, 1,390,798.38 and 328,231

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Solution

The fourth proportional to 927,469, 1,390,798.38 and 328,231 is: 492,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,469 : 1,390,798.38 = 328,231 : x
  2. Step 2: Convert to fraction form
    927,469/1,390,798.38 = 328,231/x
  3. Step 3: Cross multiply
    927,469x = 1,390,798.38 × 328,231
  4. Step 4: Simplify right side
    927,469x = 456,503,143,065.78
  5. Step 5: Solve for x
    x = 456,503,143,065.78/927,469
  6. Step 6: Final answer
    x = 492,203.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.