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Finding the Fourth Proportional to 706,345.42, 974,729.82 and 384,055.78

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Solution

The fourth proportional to 706,345.42, 974,729.82 and 384,055.78 is: 529,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,345.42 : 974,729.82 = 384,055.78 : x
  2. Step 2: Convert to fraction form
    706,345.42/974,729.82 = 384,055.78/x
  3. Step 3: Cross multiply
    706,345.42x = 974,729.82 × 384,055.78
  4. Step 4: Simplify right side
    706,345.42x = 374,350,621,309.36
  5. Step 5: Solve for x
    x = 374,350,621,309.36/706,345.42
  6. Step 6: Final answer
    x = 529,982.37

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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.