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Finding the Fourth Proportional to 302,064, 416,407.68 and 211,136.80

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Solution

The fourth proportional to 302,064, 416,407.68 and 211,136.80 is: 291,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,064 : 416,407.68 = 211,136.80 : x
  2. Step 2: Convert to fraction form
    302,064/416,407.68 = 211,136.80/x
  3. Step 3: Cross multiply
    302,064x = 416,407.68 × 211,136.80
  4. Step 4: Simplify right side
    302,064x = 87,918,985,050.62
  5. Step 5: Solve for x
    x = 87,918,985,050.62/302,064
  6. Step 6: Final answer
    x = 291,060.79

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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.