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Finding the Fourth Proportional to 442,861.32, 664,818.06 and 349,434.12

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Solution

The fourth proportional to 442,861.32, 664,818.06 and 349,434.12 is: 524,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,861.32 : 664,818.06 = 349,434.12 : x
  2. Step 2: Convert to fraction form
    442,861.32/664,818.06 = 349,434.12/x
  3. Step 3: Cross multiply
    442,861.32x = 664,818.06 × 349,434.12
  4. Step 4: Simplify right side
    442,861.32x = 232,310,113,756.21
  5. Step 5: Solve for x
    x = 232,310,113,756.21/442,861.32
  6. Step 6: Final answer
    x = 524,566.28

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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.