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Finding the Fourth Proportional to 429,107.76, 591,756.80 and 256,998.16

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Solution

The fourth proportional to 429,107.76, 591,756.80 and 256,998.16 is: 354,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,107.76 : 591,756.80 = 256,998.16 : x
  2. Step 2: Convert to fraction form
    429,107.76/591,756.80 = 256,998.16/x
  3. Step 3: Cross multiply
    429,107.76x = 591,756.80 × 256,998.16
  4. Step 4: Simplify right side
    429,107.76x = 152,080,408,767.49
  5. Step 5: Solve for x
    x = 152,080,408,767.49/429,107.76
  6. Step 6: Final answer
    x = 354,410.76

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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.