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Finding the Fourth Proportional to 470,790, 706,191.48 and 260,838

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Solution

The fourth proportional to 470,790, 706,191.48 and 260,838 is: 391,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,790 : 706,191.48 = 260,838 : x
  2. Step 2: Convert to fraction form
    470,790/706,191.48 = 260,838/x
  3. Step 3: Cross multiply
    470,790x = 706,191.48 × 260,838
  4. Step 4: Simplify right side
    470,790x = 184,201,573,260.24
  5. Step 5: Solve for x
    x = 184,201,573,260.24/470,790
  6. Step 6: Final answer
    x = 391,260.59

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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.