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Finding the Fourth Proportional to 552,005.40, 828,008.10 and 401,539.80

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Solution

The fourth proportional to 552,005.40, 828,008.10 and 401,539.80 is: 602,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,005.40 : 828,008.10 = 401,539.80 : x
  2. Step 2: Convert to fraction form
    552,005.40/828,008.10 = 401,539.80/x
  3. Step 3: Cross multiply
    552,005.40x = 828,008.10 × 401,539.80
  4. Step 4: Simplify right side
    552,005.40x = 332,478,206,872.38
  5. Step 5: Solve for x
    x = 332,478,206,872.38/552,005.40
  6. Step 6: Final answer
    x = 602,309.70

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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.