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Finding the Fourth Proportional to 356,438.56, 491,872.96 and 213,124.16

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Solution

The fourth proportional to 356,438.56, 491,872.96 and 213,124.16 is: 294,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,438.56 : 491,872.96 = 213,124.16 : x
  2. Step 2: Convert to fraction form
    356,438.56/491,872.96 = 213,124.16/x
  3. Step 3: Cross multiply
    356,438.56x = 491,872.96 × 213,124.16
  4. Step 4: Simplify right side
    356,438.56x = 104,830,011,426.71
  5. Step 5: Solve for x
    x = 104,830,011,426.71/356,438.56
  6. Step 6: Final answer
    x = 294,104.01

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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.