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Finding the Fourth Proportional to 706,032, 974,324.16 and 388,080

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Solution

The fourth proportional to 706,032, 974,324.16 and 388,080 is: 535,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,032 : 974,324.16 = 388,080 : x
  2. Step 2: Convert to fraction form
    706,032/974,324.16 = 388,080/x
  3. Step 3: Cross multiply
    706,032x = 974,324.16 × 388,080
  4. Step 4: Simplify right side
    706,032x = 378,115,720,012.80
  5. Step 5: Solve for x
    x = 378,115,720,012.80/706,032
  6. Step 6: Final answer
    x = 535,550.40

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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.