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Finding the Fourth Proportional to 673,664.16, 929,654.64 and 371,856

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Solution

The fourth proportional to 673,664.16, 929,654.64 and 371,856 is: 513,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,664.16 : 929,654.64 = 371,856 : x
  2. Step 2: Convert to fraction form
    673,664.16/929,654.64 = 371,856/x
  3. Step 3: Cross multiply
    673,664.16x = 929,654.64 × 371,856
  4. Step 4: Simplify right side
    673,664.16x = 345,697,655,811.84
  5. Step 5: Solve for x
    x = 345,697,655,811.84/673,664.16
  6. Step 6: Final answer
    x = 513,160.23

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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.