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Finding the Fourth Proportional to 568,031.52, 783,856.14 and 309,893.10

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Solution

The fourth proportional to 568,031.52, 783,856.14 and 309,893.10 is: 427,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,031.52 : 783,856.14 = 309,893.10 : x
  2. Step 2: Convert to fraction form
    568,031.52/783,856.14 = 309,893.10/x
  3. Step 3: Cross multiply
    568,031.52x = 783,856.14 × 309,893.10
  4. Step 4: Simplify right side
    568,031.52x = 242,911,609,178.63
  5. Step 5: Solve for x
    x = 242,911,609,178.63/568,031.52
  6. Step 6: Final answer
    x = 427,637.55

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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.