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Finding the Fourth Proportional to 709,328,784.12, 979,036,922.70 and 416,067,830.52

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Solution

The fourth proportional to 709,328,784.12, 979,036,922.70 and 416,067,830.52 is: 574,269,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,328,784.12 : 979,036,922.70 = 416,067,830.52 : x
  2. Step 2: Convert to fraction form
    709,328,784.12/979,036,922.70 = 416,067,830.52/x
  3. Step 3: Cross multiply
    709,328,784.12x = 979,036,922.70 × 416,067,830.52
  4. Step 4: Simplify right side
    709,328,784.12x = 407,345,768,426,765,952
  5. Step 5: Solve for x
    x = 407,345,768,426,765,952/709,328,784.12
  6. Step 6: Final answer
    x = 574,269,333.98

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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.