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Finding the Fourth Proportional to 706,672, 975,207.36 and 405,040.96

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Solution

The fourth proportional to 706,672, 975,207.36 and 405,040.96 is: 558,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,672 : 975,207.36 = 405,040.96 : x
  2. Step 2: Convert to fraction form
    706,672/975,207.36 = 405,040.96/x
  3. Step 3: Cross multiply
    706,672x = 975,207.36 × 405,040.96
  4. Step 4: Simplify right side
    706,672x = 394,998,925,293.47
  5. Step 5: Solve for x
    x = 394,998,925,293.47/706,672
  6. Step 6: Final answer
    x = 558,956.52

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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.