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Finding the Fourth Proportional to 399,637.72, 599,683.20 and 146,885.32

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Solution

The fourth proportional to 399,637.72, 599,683.20 and 146,885.32 is: 220,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,637.72 : 599,683.20 = 146,885.32 : x
  2. Step 2: Convert to fraction form
    399,637.72/599,683.20 = 146,885.32/x
  3. Step 3: Cross multiply
    399,637.72x = 599,683.20 × 146,885.32
  4. Step 4: Simplify right side
    399,637.72x = 88,084,658,730.62
  5. Step 5: Solve for x
    x = 88,084,658,730.62/399,637.72
  6. Step 6: Final answer
    x = 220,411.27

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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.