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Finding the Fourth Proportional to 283,446,430.20, 425,169,645.30 and 214,918,097.40

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Solution

The fourth proportional to 283,446,430.20, 425,169,645.30 and 214,918,097.40 is: 322,377,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,446,430.20 : 425,169,645.30 = 214,918,097.40 : x
  2. Step 2: Convert to fraction form
    283,446,430.20/425,169,645.30 = 214,918,097.40/x
  3. Step 3: Cross multiply
    283,446,430.20x = 425,169,645.30 × 214,918,097.40
  4. Step 4: Simplify right side
    283,446,430.20x = 91,376,651,240,108,864
  5. Step 5: Solve for x
    x = 91,376,651,240,108,864/283,446,430.20
  6. Step 6: Final answer
    x = 322,377,146.10

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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.