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Finding the Fourth Proportional to 512,222.64, 706,210.12 and 420,002.15

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Solution

The fourth proportional to 512,222.64, 706,210.12 and 420,002.15 is: 579,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,222.64 : 706,210.12 = 420,002.15 : x
  2. Step 2: Convert to fraction form
    512,222.64/706,210.12 = 420,002.15/x
  3. Step 3: Cross multiply
    512,222.64x = 706,210.12 × 420,002.15
  4. Step 4: Simplify right side
    512,222.64x = 296,609,768,872.69
  5. Step 5: Solve for x
    x = 296,609,768,872.69/512,222.64
  6. Step 6: Final answer
    x = 579,064.15

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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.