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Finding the Fourth Proportional to 457,508.40, 684,707.40 and 401,521.20

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Solution

The fourth proportional to 457,508.40, 684,707.40 and 401,521.20 is: 600,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,508.40 : 684,707.40 = 401,521.20 : x
  2. Step 2: Convert to fraction form
    457,508.40/684,707.40 = 401,521.20/x
  3. Step 3: Cross multiply
    457,508.40x = 684,707.40 × 401,521.20
  4. Step 4: Simplify right side
    457,508.40x = 274,924,536,896.88
  5. Step 5: Solve for x
    x = 274,924,536,896.88/457,508.40
  6. Step 6: Final answer
    x = 600,916.92

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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.