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Finding the Fourth Proportional to 512,918, 707,807.67 and 295,160.30

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Solution

The fourth proportional to 512,918, 707,807.67 and 295,160.30 is: 407,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,918 : 707,807.67 = 295,160.30 : x
  2. Step 2: Convert to fraction form
    512,918/707,807.67 = 295,160.30/x
  3. Step 3: Cross multiply
    512,918x = 707,807.67 × 295,160.30
  4. Step 4: Simplify right side
    512,918x = 208,916,724,219.50
  5. Step 5: Solve for x
    x = 208,916,724,219.50/512,918
  6. Step 6: Final answer
    x = 407,310.18

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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.