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Finding the Fourth Proportional to 306,890,419.90, 460,626,660.08 and 189,952,047.48

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Solution

The fourth proportional to 306,890,419.90, 460,626,660.08 and 189,952,047.48 is: 285,108,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,890,419.90 : 460,626,660.08 = 189,952,047.48 : x
  2. Step 2: Convert to fraction form
    306,890,419.90/460,626,660.08 = 189,952,047.48/x
  3. Step 3: Cross multiply
    306,890,419.90x = 460,626,660.08 × 189,952,047.48
  4. Step 4: Simplify right side
    306,890,419.90x = 87,496,977,206,069,968
  5. Step 5: Solve for x
    x = 87,496,977,206,069,968/306,890,419.90
  6. Step 6: Final answer
    x = 285,108,206.49

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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.