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Finding the Fourth Proportional to 470,185.40, 705,278.10 and 115,202.90

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Solution

The fourth proportional to 470,185.40, 705,278.10 and 115,202.90 is: 172,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,185.40 : 705,278.10 = 115,202.90 : x
  2. Step 2: Convert to fraction form
    470,185.40/705,278.10 = 115,202.90/x
  3. Step 3: Cross multiply
    470,185.40x = 705,278.10 × 115,202.90
  4. Step 4: Simplify right side
    470,185.40x = 81,250,082,426.49
  5. Step 5: Solve for x
    x = 81,250,082,426.49/470,185.40
  6. Step 6: Final answer
    x = 172,804.35

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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.