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Finding the Fourth Proportional to 470,475.19, 705,726.62 and 115,489.20

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Solution

The fourth proportional to 470,475.19, 705,726.62 and 115,489.20 is: 173,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,475.19 : 705,726.62 = 115,489.20 : x
  2. Step 2: Convert to fraction form
    470,475.19/705,726.62 = 115,489.20/x
  3. Step 3: Cross multiply
    470,475.19x = 705,726.62 × 115,489.20
  4. Step 4: Simplify right side
    470,475.19x = 81,503,801,294.91
  5. Step 5: Solve for x
    x = 81,503,801,294.91/470,475.19
  6. Step 6: Final answer
    x = 173,237.19

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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.