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Finding the Fourth Proportional to 706,035, 974,328.30 and 388,083

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Solution

The fourth proportional to 706,035, 974,328.30 and 388,083 is: 535,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,035 : 974,328.30 = 388,083 : x
  2. Step 2: Convert to fraction form
    706,035/974,328.30 = 388,083/x
  3. Step 3: Cross multiply
    706,035x = 974,328.30 × 388,083
  4. Step 4: Simplify right side
    706,035x = 378,120,249,648.90
  5. Step 5: Solve for x
    x = 378,120,249,648.90/706,035
  6. Step 6: Final answer
    x = 535,554.54

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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.