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Finding the Fourth Proportional to 718,641.64, 991,770.78 and 412,813.72

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Solution

The fourth proportional to 718,641.64, 991,770.78 and 412,813.72 is: 569,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,641.64 : 991,770.78 = 412,813.72 : x
  2. Step 2: Convert to fraction form
    718,641.64/991,770.78 = 412,813.72/x
  3. Step 3: Cross multiply
    718,641.64x = 991,770.78 × 412,813.72
  4. Step 4: Simplify right side
    718,641.64x = 409,416,585,079.10
  5. Step 5: Solve for x
    x = 409,416,585,079.10/718,641.64
  6. Step 6: Final answer
    x = 569,708.97

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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.