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Finding the Fourth Proportional to 399,611.64, 551,502.21 and 218,351.13

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Solution

The fourth proportional to 399,611.64, 551,502.21 and 218,351.13 is: 301,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,611.64 : 551,502.21 = 218,351.13 : x
  2. Step 2: Convert to fraction form
    399,611.64/551,502.21 = 218,351.13/x
  3. Step 3: Cross multiply
    399,611.64x = 551,502.21 × 218,351.13
  4. Step 4: Simplify right side
    399,611.64x = 120,421,130,751.00
  5. Step 5: Solve for x
    x = 120,421,130,751.00/399,611.64
  6. Step 6: Final answer
    x = 301,345.40

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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.