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Finding the Fourth Proportional to 470,602.21, 649,435.22 and 255,742.30

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Solution

The fourth proportional to 470,602.21, 649,435.22 and 255,742.30 is: 352,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,602.21 : 649,435.22 = 255,742.30 : x
  2. Step 2: Convert to fraction form
    470,602.21/649,435.22 = 255,742.30/x
  3. Step 3: Cross multiply
    470,602.21x = 649,435.22 × 255,742.30
  4. Step 4: Simplify right side
    470,602.21x = 166,088,056,863.81
  5. Step 5: Solve for x
    x = 166,088,056,863.81/470,602.21
  6. Step 6: Final answer
    x = 352,926.64

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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.