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Finding the Fourth Proportional to 356,859.12, 492,431.13 and 213,616.08

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Solution

The fourth proportional to 356,859.12, 492,431.13 and 213,616.08 is: 294,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,859.12 : 492,431.13 = 213,616.08 : x
  2. Step 2: Convert to fraction form
    356,859.12/492,431.13 = 213,616.08/x
  3. Step 3: Cross multiply
    356,859.12x = 492,431.13 × 213,616.08
  4. Step 4: Simplify right side
    356,859.12x = 105,191,207,660.57
  5. Step 5: Solve for x
    x = 105,191,207,660.57/356,859.12
  6. Step 6: Final answer
    x = 294,769.57

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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.