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Finding the Fourth Proportional to 413,611.20, 620,416.80 and 236,136.15

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Solution

The fourth proportional to 413,611.20, 620,416.80 and 236,136.15 is: 354,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,611.20 : 620,416.80 = 236,136.15 : x
  2. Step 2: Convert to fraction form
    413,611.20/620,416.80 = 236,136.15/x
  3. Step 3: Cross multiply
    413,611.20x = 620,416.80 × 236,136.15
  4. Step 4: Simplify right side
    413,611.20x = 146,502,834,547.32
  5. Step 5: Solve for x
    x = 146,502,834,547.32/413,611.20
  6. Step 6: Final answer
    x = 354,204.23

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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.