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Finding the Fourth Proportional to 706,664, 975,196.32 and 405,032.96

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Solution

The fourth proportional to 706,664, 975,196.32 and 405,032.96 is: 558,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,664 : 975,196.32 = 405,032.96 : x
  2. Step 2: Convert to fraction form
    706,664/975,196.32 = 405,032.96/x
  3. Step 3: Cross multiply
    706,664x = 975,196.32 × 405,032.96
  4. Step 4: Simplify right side
    706,664x = 394,986,652,070.71
  5. Step 5: Solve for x
    x = 394,986,652,070.71/706,664
  6. Step 6: Final answer
    x = 558,945.48

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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.