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Finding the Fourth Proportional to 612,776.24, 919,189.08 and 213,457.40

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Solution

The fourth proportional to 612,776.24, 919,189.08 and 213,457.40 is: 320,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,776.24 : 919,189.08 = 213,457.40 : x
  2. Step 2: Convert to fraction form
    612,776.24/919,189.08 = 213,457.40/x
  3. Step 3: Cross multiply
    612,776.24x = 919,189.08 × 213,457.40
  4. Step 4: Simplify right side
    612,776.24x = 196,207,711,125.19
  5. Step 5: Solve for x
    x = 196,207,711,125.19/612,776.24
  6. Step 6: Final answer
    x = 320,194.71

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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.