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Finding the Fourth Proportional to 403,813,815.20, 605,720,722.80 and 289,152,029.60

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Solution

The fourth proportional to 403,813,815.20, 605,720,722.80 and 289,152,029.60 is: 433,728,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,813,815.20 : 605,720,722.80 = 289,152,029.60 : x
  2. Step 2: Convert to fraction form
    403,813,815.20/605,720,722.80 = 289,152,029.60/x
  3. Step 3: Cross multiply
    403,813,815.20x = 605,720,722.80 × 289,152,029.60
  4. Step 4: Simplify right side
    403,813,815.20x = 175,145,376,368,399,008
  5. Step 5: Solve for x
    x = 175,145,376,368,399,008/403,813,815.20
  6. Step 6: Final answer
    x = 433,728,044.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.