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Finding the Fourth Proportional to 470,111.40, 705,288.70 and 203,810.40

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Solution

The fourth proportional to 470,111.40, 705,288.70 and 203,810.40 is: 305,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,111.40 : 705,288.70 = 203,810.40 : x
  2. Step 2: Convert to fraction form
    470,111.40/705,288.70 = 203,810.40/x
  3. Step 3: Cross multiply
    470,111.40x = 705,288.70 × 203,810.40
  4. Step 4: Simplify right side
    470,111.40x = 143,745,172,062.48
  5. Step 5: Solve for x
    x = 143,745,172,062.48/470,111.40
  6. Step 6: Final answer
    x = 305,768.32

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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.