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Finding the Fourth Proportional to 512,228.64, 706,218.40 and 420,008.15

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Solution

The fourth proportional to 512,228.64, 706,218.40 and 420,008.15 is: 579,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,228.64 : 706,218.40 = 420,008.15 : x
  2. Step 2: Convert to fraction form
    512,228.64/706,218.40 = 420,008.15/x
  3. Step 3: Cross multiply
    512,228.64x = 706,218.40 × 420,008.15
  4. Step 4: Simplify right side
    512,228.64x = 296,617,483,679.96
  5. Step 5: Solve for x
    x = 296,617,483,679.96/512,228.64
  6. Step 6: Final answer
    x = 579,072.43

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1.5x scale

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.