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Finding the Fourth Proportional to 713,885.34, 1,070,712.90 and 208,327.62

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Solution

The fourth proportional to 713,885.34, 1,070,712.90 and 208,327.62 is: 312,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,885.34 : 1,070,712.90 = 208,327.62 : x
  2. Step 2: Convert to fraction form
    713,885.34/1,070,712.90 = 208,327.62/x
  3. Step 3: Cross multiply
    713,885.34x = 1,070,712.90 × 208,327.62
  4. Step 4: Simplify right side
    713,885.34x = 223,059,070,160.30
  5. Step 5: Solve for x
    x = 223,059,070,160.30/713,885.34
  6. Step 6: Final answer
    x = 312,457.84

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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.