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Finding the Fourth Proportional to 445,472.64, 614,157.55 and 353,895.77

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Solution

The fourth proportional to 445,472.64, 614,157.55 and 353,895.77 is: 487,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,472.64 : 614,157.55 = 353,895.77 : x
  2. Step 2: Convert to fraction form
    445,472.64/614,157.55 = 353,895.77/x
  3. Step 3: Cross multiply
    445,472.64x = 614,157.55 × 353,895.77
  4. Step 4: Simplify right side
    445,472.64x = 217,347,759,709.22
  5. Step 5: Solve for x
    x = 217,347,759,709.22/445,472.64
  6. Step 6: Final answer
    x = 487,903.72

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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.