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Finding the Fourth Proportional to 686,830.92, 948,024.36 and 414,855.60

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Solution

The fourth proportional to 686,830.92, 948,024.36 and 414,855.60 is: 572,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,830.92 : 948,024.36 = 414,855.60 : x
  2. Step 2: Convert to fraction form
    686,830.92/948,024.36 = 414,855.60/x
  3. Step 3: Cross multiply
    686,830.92x = 948,024.36 × 414,855.60
  4. Step 4: Simplify right side
    686,830.92x = 393,293,214,682.42
  5. Step 5: Solve for x
    x = 393,293,214,682.42/686,830.92
  6. Step 6: Final answer
    x = 572,620.14

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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.