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Finding the Fourth Proportional to 354,871.02, 489,723.12 and 227,547.12

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Solution

The fourth proportional to 354,871.02, 489,723.12 and 227,547.12 is: 314,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,871.02 : 489,723.12 = 227,547.12 : x
  2. Step 2: Convert to fraction form
    354,871.02/489,723.12 = 227,547.12/x
  3. Step 3: Cross multiply
    354,871.02x = 489,723.12 × 227,547.12
  4. Step 4: Simplify right side
    354,871.02x = 111,435,085,553.41
  5. Step 5: Solve for x
    x = 111,435,085,553.41/354,871.02
  6. Step 6: Final answer
    x = 314,015.74

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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.