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Finding the Fourth Proportional to 474,688.64, 655,259.28 and 311,407.22

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Solution

The fourth proportional to 474,688.64, 655,259.28 and 311,407.22 is: 429,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,688.64 : 655,259.28 = 311,407.22 : x
  2. Step 2: Convert to fraction form
    474,688.64/655,259.28 = 311,407.22/x
  3. Step 3: Cross multiply
    474,688.64x = 655,259.28 × 311,407.22
  4. Step 4: Simplify right side
    474,688.64x = 204,052,470,764.00
  5. Step 5: Solve for x
    x = 204,052,470,764.00/474,688.64
  6. Step 6: Final answer
    x = 429,865.92

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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.