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Finding the Fourth Proportional to 830,516.80, 1,165,872.80 and 830,516.80

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Solution

The fourth proportional to 830,516.80, 1,165,872.80 and 830,516.80 is: 1,165,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,516.80 : 1,165,872.80 = 830,516.80 : x
  2. Step 2: Convert to fraction form
    830,516.80/1,165,872.80 = 830,516.80/x
  3. Step 3: Cross multiply
    830,516.80x = 1,165,872.80 × 830,516.80
  4. Step 4: Simplify right side
    830,516.80x = 968,276,947,063.04
  5. Step 5: Solve for x
    x = 968,276,947,063.04/830,516.80
  6. Step 6: Final answer
    x = 1,165,872.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.