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Finding the Fourth Proportional to 257,723.20, 346,820.40 and 257,723.20

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Solution

The fourth proportional to 257,723.20, 346,820.40 and 257,723.20 is: 346,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,723.20 : 346,820.40 = 257,723.20 : x
  2. Step 2: Convert to fraction form
    257,723.20/346,820.40 = 257,723.20/x
  3. Step 3: Cross multiply
    257,723.20x = 346,820.40 × 257,723.20
  4. Step 4: Simplify right side
    257,723.20x = 89,383,663,313.28
  5. Step 5: Solve for x
    x = 89,383,663,313.28/257,723.20
  6. Step 6: Final answer
    x = 346,820.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.