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Finding the Fourth Proportional to 547,809.10, 821,713.65 and 173,869.90

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Solution

The fourth proportional to 547,809.10, 821,713.65 and 173,869.90 is: 260,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,809.10 : 821,713.65 = 173,869.90 : x
  2. Step 2: Convert to fraction form
    547,809.10/821,713.65 = 173,869.90/x
  3. Step 3: Cross multiply
    547,809.10x = 821,713.65 × 173,869.90
  4. Step 4: Simplify right side
    547,809.10x = 142,871,270,154.14
  5. Step 5: Solve for x
    x = 142,871,270,154.14/547,809.10
  6. Step 6: Final answer
    x = 260,804.85

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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.