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Finding the Fourth Proportional to 354,294,676.80, 531,442,015.20 and 289,671,451.20

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Solution

The fourth proportional to 354,294,676.80, 531,442,015.20 and 289,671,451.20 is: 434,507,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,294,676.80 : 531,442,015.20 = 289,671,451.20 : x
  2. Step 2: Convert to fraction form
    354,294,676.80/531,442,015.20 = 289,671,451.20/x
  3. Step 3: Cross multiply
    354,294,676.80x = 531,442,015.20 × 289,671,451.20
  4. Step 4: Simplify right side
    354,294,676.80x = 153,943,579,771,636,448
  5. Step 5: Solve for x
    x = 153,943,579,771,636,448/354,294,676.80
  6. Step 6: Final answer
    x = 434,507,176.80

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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.