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Finding the Fourth Proportional to 359,339,998.40, 539,009,997.60 and 144,083,729.60

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Solution

The fourth proportional to 359,339,998.40, 539,009,997.60 and 144,083,729.60 is: 216,125,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,339,998.40 : 539,009,997.60 = 144,083,729.60 : x
  2. Step 2: Convert to fraction form
    359,339,998.40/539,009,997.60 = 144,083,729.60/x
  3. Step 3: Cross multiply
    359,339,998.40x = 539,009,997.60 × 144,083,729.60
  4. Step 4: Simplify right side
    359,339,998.40x = 77,662,570,745,895,056
  5. Step 5: Solve for x
    x = 77,662,570,745,895,056/359,339,998.40
  6. Step 6: Final answer
    x = 216,125,594.40

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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.