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Finding the Fourth Proportional to 470,680.52, 649,539.20 and 255,820.58

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Solution

The fourth proportional to 470,680.52, 649,539.20 and 255,820.58 is: 353,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,680.52 : 649,539.20 = 255,820.58 : x
  2. Step 2: Convert to fraction form
    470,680.52/649,539.20 = 255,820.58/x
  3. Step 3: Cross multiply
    470,680.52x = 649,539.20 × 255,820.58
  4. Step 4: Simplify right side
    470,680.52x = 166,165,494,876.74
  5. Step 5: Solve for x
    x = 166,165,494,876.74/470,680.52
  6. Step 6: Final answer
    x = 353,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.