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Finding the Fourth Proportional to 706,745.79, 975,312.09 and 384,457.73

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Solution

The fourth proportional to 706,745.79, 975,312.09 and 384,457.73 is: 530,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,745.79 : 975,312.09 = 384,457.73 : x
  2. Step 2: Convert to fraction form
    706,745.79/975,312.09 = 384,457.73/x
  3. Step 3: Cross multiply
    706,745.79x = 975,312.09 × 384,457.73
  4. Step 4: Simplify right side
    706,745.79x = 374,966,267,286.40
  5. Step 5: Solve for x
    x = 374,966,267,286.40/706,745.79
  6. Step 6: Final answer
    x = 530,553.24

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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.