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Finding the Fourth Proportional to 552,856.78, 828,421.17 and 384,705.64

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Solution

The fourth proportional to 552,856.78, 828,421.17 and 384,705.64 is: 576,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,856.78 : 828,421.17 = 384,705.64 : x
  2. Step 2: Convert to fraction form
    552,856.78/828,421.17 = 384,705.64/x
  3. Step 3: Cross multiply
    552,856.78x = 828,421.17 × 384,705.64
  4. Step 4: Simplify right side
    552,856.78x = 318,698,296,394.40
  5. Step 5: Solve for x
    x = 318,698,296,394.40/552,856.78
  6. Step 6: Final answer
    x = 576,457.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.