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Finding the Fourth Proportional to 407,710.10, 611,346.45 and 170,785.10

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Solution

The fourth proportional to 407,710.10, 611,346.45 and 170,785.10 is: 256,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,710.10 : 611,346.45 = 170,785.10 : x
  2. Step 2: Convert to fraction form
    407,710.10/611,346.45 = 170,785.10/x
  3. Step 3: Cross multiply
    407,710.10x = 611,346.45 × 170,785.10
  4. Step 4: Simplify right side
    407,710.10x = 104,408,864,597.90
  5. Step 5: Solve for x
    x = 104,408,864,597.90/407,710.10
  6. Step 6: Final answer
    x = 256,086.04

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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.