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Finding the Fourth Proportional to 288,237,603.20, 432,356,404.80 and 274,128,828.80

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Solution

The fourth proportional to 288,237,603.20, 432,356,404.80 and 274,128,828.80 is: 411,193,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,237,603.20 : 432,356,404.80 = 274,128,828.80 : x
  2. Step 2: Convert to fraction form
    288,237,603.20/432,356,404.80 = 274,128,828.80/x
  3. Step 3: Cross multiply
    288,237,603.20x = 432,356,404.80 × 274,128,828.80
  4. Step 4: Simplify right side
    288,237,603.20x = 118,521,354,872,002,704
  5. Step 5: Solve for x
    x = 118,521,354,872,002,704/288,237,603.20
  6. Step 6: Final answer
    x = 411,193,243.20

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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.