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Finding the Fourth Proportional to 512,756.36, 707,618.06 and 283,328.50

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Solution

The fourth proportional to 512,756.36, 707,618.06 and 283,328.50 is: 391,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,756.36 : 707,618.06 = 283,328.50 : x
  2. Step 2: Convert to fraction form
    512,756.36/707,618.06 = 283,328.50/x
  3. Step 3: Cross multiply
    512,756.36x = 707,618.06 × 283,328.50
  4. Step 4: Simplify right side
    512,756.36x = 200,488,363,512.71
  5. Step 5: Solve for x
    x = 200,488,363,512.71/512,756.36
  6. Step 6: Final answer
    x = 391,001.22

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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.