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Finding the Fourth Proportional to 512,418.78, 707,124.51 and 282,992.76

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Solution

The fourth proportional to 512,418.78, 707,124.51 and 282,992.76 is: 390,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,418.78 : 707,124.51 = 282,992.76 : x
  2. Step 2: Convert to fraction form
    512,418.78/707,124.51 = 282,992.76/x
  3. Step 3: Cross multiply
    512,418.78x = 707,124.51 × 282,992.76
  4. Step 4: Simplify right side
    512,418.78x = 200,111,116,748.55
  5. Step 5: Solve for x
    x = 200,111,116,748.55/512,418.78
  6. Step 6: Final answer
    x = 390,522.60

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1.5x scale

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.