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Finding the Fourth Proportional to 512,109.10, 715,624.13 and 512,109.10

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Solution

The fourth proportional to 512,109.10, 715,624.13 and 512,109.10 is: 715,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,109.10 : 715,624.13 = 512,109.10 : x
  2. Step 2: Convert to fraction form
    512,109.10/715,624.13 = 512,109.10/x
  3. Step 3: Cross multiply
    512,109.10x = 715,624.13 × 512,109.10
  4. Step 4: Simplify right side
    512,109.10x = 366,477,629,152.58
  5. Step 5: Solve for x
    x = 366,477,629,152.58/512,109.10
  6. Step 6: Final answer
    x = 715,624.13

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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.