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Finding the Fourth Proportional to 654,016.56, 980,603.10 and 312,275.13

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Solution

The fourth proportional to 654,016.56, 980,603.10 and 312,275.13 is: 468,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,016.56 : 980,603.10 = 312,275.13 : x
  2. Step 2: Convert to fraction form
    654,016.56/980,603.10 = 312,275.13/x
  3. Step 3: Cross multiply
    654,016.56x = 980,603.10 × 312,275.13
  4. Step 4: Simplify right side
    654,016.56x = 306,217,960,530.90
  5. Step 5: Solve for x
    x = 306,217,960,530.90/654,016.56
  6. Step 6: Final answer
    x = 468,211.33

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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.