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Finding the Fourth Proportional to 706,116,683.52, 974,449,986.89 and 388,613,485.89

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Solution

The fourth proportional to 706,116,683.52, 974,449,986.89 and 388,613,485.89 is: 536,291,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,116,683.52 : 974,449,986.89 = 388,613,485.89 : x
  2. Step 2: Convert to fraction form
    706,116,683.52/974,449,986.89 = 388,613,485.89/x
  3. Step 3: Cross multiply
    706,116,683.52x = 974,449,986.89 × 388,613,485.89
  4. Step 4: Simplify right side
    706,116,683.52x = 378,684,406,228,844,608
  5. Step 5: Solve for x
    x = 378,684,406,228,844,608/706,116,683.52
  6. Step 6: Final answer
    x = 536,291,543.69

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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.