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Finding the Fourth Proportional to 512,420.76, 707,147.64 and 282,993.52

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Solution

The fourth proportional to 512,420.76, 707,147.64 and 282,993.52 is: 390,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,420.76 : 707,147.64 = 282,993.52 : x
  2. Step 2: Convert to fraction form
    512,420.76/707,147.64 = 282,993.52/x
  3. Step 3: Cross multiply
    512,420.76x = 707,147.64 × 282,993.52
  4. Step 4: Simplify right side
    512,420.76x = 200,118,199,803.29
  5. Step 5: Solve for x
    x = 200,118,199,803.29/512,420.76
  6. Step 6: Final answer
    x = 390,534.92

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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.