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Finding the Fourth Proportional to 470,870.38, 706,749.45 and 171,640.18

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Solution

The fourth proportional to 470,870.38, 706,749.45 and 171,640.18 is: 257,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,870.38 : 706,749.45 = 171,640.18 : x
  2. Step 2: Convert to fraction form
    470,870.38/706,749.45 = 171,640.18/x
  3. Step 3: Cross multiply
    470,870.38x = 706,749.45 × 171,640.18
  4. Step 4: Simplify right side
    470,870.38x = 121,306,602,812.90
  5. Step 5: Solve for x
    x = 121,306,602,812.90/470,870.38
  6. Step 6: Final answer
    x = 257,622.07

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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.