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Finding the Fourth Proportional to 471,744,903.80, 707,617,355.70 and 388,521,243.20

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Solution

The fourth proportional to 471,744,903.80, 707,617,355.70 and 388,521,243.20 is: 582,781,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,744,903.80 : 707,617,355.70 = 388,521,243.20 : x
  2. Step 2: Convert to fraction form
    471,744,903.80/707,617,355.70 = 388,521,243.20/x
  3. Step 3: Cross multiply
    471,744,903.80x = 707,617,355.70 × 388,521,243.20
  4. Step 4: Simplify right side
    471,744,903.80x = 274,924,374,746,460,608
  5. Step 5: Solve for x
    x = 274,924,374,746,460,608/471,744,903.80
  6. Step 6: Final answer
    x = 582,781,864.80

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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.