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Finding the Fourth Proportional to 512,097.10, 717,985.70 and 512,097.10

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Solution

The fourth proportional to 512,097.10, 717,985.70 and 512,097.10 is: 717,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,097.10 : 717,985.70 = 512,097.10 : x
  2. Step 2: Convert to fraction form
    512,097.10/717,985.70 = 512,097.10/x
  3. Step 3: Cross multiply
    512,097.10x = 717,985.70 × 512,097.10
  4. Step 4: Simplify right side
    512,097.10x = 367,678,394,811.47
  5. Step 5: Solve for x
    x = 367,678,394,811.47/512,097.10
  6. Step 6: Final answer
    x = 717,985.70

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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.