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Finding the Fourth Proportional to 347,457.60, 521,186.40 and 213,904.80

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Solution

The fourth proportional to 347,457.60, 521,186.40 and 213,904.80 is: 320,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,457.60 : 521,186.40 = 213,904.80 : x
  2. Step 2: Convert to fraction form
    347,457.60/521,186.40 = 213,904.80/x
  3. Step 3: Cross multiply
    347,457.60x = 521,186.40 × 213,904.80
  4. Step 4: Simplify right side
    347,457.60x = 111,484,272,654.72
  5. Step 5: Solve for x
    x = 111,484,272,654.72/347,457.60
  6. Step 6: Final answer
    x = 320,857.20

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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.