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Finding the Fourth Proportional to 429,433.70, 644,150.55 and 409,750.70

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Solution

The fourth proportional to 429,433.70, 644,150.55 and 409,750.70 is: 614,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,433.70 : 644,150.55 = 409,750.70 : x
  2. Step 2: Convert to fraction form
    429,433.70/644,150.55 = 409,750.70/x
  3. Step 3: Cross multiply
    429,433.70x = 644,150.55 × 409,750.70
  4. Step 4: Simplify right side
    429,433.70x = 263,941,138,767.89
  5. Step 5: Solve for x
    x = 263,941,138,767.89/429,433.70
  6. Step 6: Final answer
    x = 614,626.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.